Free Printable Math Worksheets for Geometry

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• Review of equations
• Simplifying square roots
• Adding and subtracting square roots
• Multiplying square roots
• Dividing square roots
• Line segments and their measures inches
• Line segments and their measures cm
• Angles and their measures
• Classifying angles
• Naming angles
• Angle pair relationships
• Understanding geometric diagrams and notation
• Parallel lines and transversals
• Proving lines parallel
• Points in the coordinate plane
• The Midpoint Formula
• The Distance Formula
• Parallel lines in the coordinate plane
• Classifying triangles
• Triangle angle sum
• The Exterior Angle Theorem
• Triangles and congruence
• SSS and SAS congruence
• ASA and AAS congruence
• SSS, SAS, ASA, and AAS congruences combined
• Right triangle congruence
• Isosceles and equilateral triangles
• Midsegment of a triangle
• Angle bisectors
• The Triangle Inequality Theorem
• Inequalities in one triangle
• Properties of parallelograms
• Properties of trapezoids
• Properties of rhombuses
• Properties of kites
• Areas of triangles and quadrilaterals
• Introduction to polygons
• Polygons and angles
• Areas of regular polygons
• Solving proportions
• Similar polygons
• Using similar polygons
• Similar triangles
• Similar right triangles
• Proportional parts in triangles and parallel lines
• The Pythagorean Theorem and its Converse
• Multi-step Pythagorean Theorem problems
• Special right triangles
• Multi-step special right triangle problems
• Trig. ratios
• Inverse trig. ratios
• Solving right triangles
• Multi-step trig. problems
• Rhombuses and kites with right triangles
• Trigonometry and area
• Identifying solid figures
• Volume of prisms and cylinders
• Surface area of prisms and cylinders
• Volume of pyramids and cones
• Surface area of pyramids and cones
• More on nets of solids
• Similar solids
• Arcs and central angles
• Arcs and chords
• Circumference and area
• Inscribed angles
• Tangents to circles
• Secant angles
• Secant-tangent and tangent-tangent angles
• Segment measures
• Equations of circles
• Translations
• Reflections
• All transformations combined
• Sample spaces and The Counting Principle
• Independent and dependent events
• Mutualy exclusive events
• Permutations
• Combinations
• Permutations vs combinations
• Probability using permutations and combinations
• Line segments
• Perpendicular segments
• Medians of triangles
• Altitudes of triangles

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Home > Geometry

GEOMETRY - PRACTICE WORKSHEETS

Let your kids become junior geometers by working on these geometry worksheets. Learn all the properties of 2 D and 3 D shapes and use its parameters to compute area, volume, surface area and many more in the following pages. For easy understanding the worksheets and classified under separate topics. Browse them all. !!

Quick links to the below listed topics:    2D Shapes , 3D Shapes , Lines Rays Planes and Line Segments , Compose and Decompose shapes , Symmetry

Basic Geometry Worksheets

Shapes worksheets have lot of activities, charts and practice pages for children. Real – life objects are also depicted. The property of each shape is discussed in a detailed and easy manner. 2-D, 3-D shapes and compose-decompose shapes are included here.

When a line splits a figure into two, such that the two split figures are identical in shape and size, they are called symmetrical. The line which divides the figure is the ‘line of symmetry’. This concept is symmetry and here are a lot of worksheets for better understanding and practice.

• LINES, RAYS, LINE SEGMENTS, PLANES

The definition of a line, ray, line segment and plane are given in this section. A number of worksheets and activities to identify and differentiate each of them and name them are here for practice.

• AREA OF SHAPES

Students can easily learn the area of different geometric shapes. Exclusive worksheets to help your kids to find the area with new dimensions. The problems are designed for different grade levels.

• PERIMETER OF SHAPES

Calculate the perimeter of shapes by sum up all the sides of each shape. Printable free worksheets are available here for download.

Circle Worksheets are available here to find the area of circle and the circumference of circle. Free interactive exercises to practice and download as pdf to print.

Students classify the triangle by learning the types of triangle charts. This topic includes wide variety of worksheets in area, perimeter, angles in triangle, median and centroid of a triangle, triangle inequality theorem and more.

These Rectangle worksheets help the students to identify the rectangle from different geometric shapes. Area and perimeter of rectangle worksheets also included here.

A Square has four equal sides. In this web page, area and perimeter of square worksheets are given. Students can easily practice the square worksheets. Variety of interactive exercises are included here.

• PARALLELOGRAM

Use these parallelogram worksheets and test your math skills. Calculate the area and perimeter of parallelogram are more useful for students. Angles in parallelogram worksheets are available here. Download these worksheets and print them.

Kite is a quadrilateral with two pairs of adjacent equal sides. Identifying kite worksheets help the kids to recognize the kite shape. Area and perimeter of kite worksheets are available for practice.

• MIDPOINT FORMULA

Mid point formula worksheets describes to calculate the mid point of the line segment. FInd the midpoint of the line segment from the given endpoints.These free worksheets is more helpful for practice.

Print these Quadrilateral worksheets and practice it to identify the quadrilateral shape. Find the area and perimeter of quadrilaterals are available here. Metric and Customary units are included. These colorful worksheets are useful for Grade 1 to Grade 5.

• DISTANCE FORMULA

Find the length of each line segment by using the distance formula. And also use Pythagorean Theorem to find the distance of the line segment. More worksheets are here to print.

The slope of the line  is the ratio of the rise to the run. Slope worksheets help the kids to identify the types of slope. Finding slope by calculating rise and run, slope with linear equation, two point formula and the missing coordinates.

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Volume And Area Of Rectangular Prisms

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Geometry worksheets are educational materials designed to help students learn and practice geometric concepts and skills. This page offers a great deal of worksheets related to geometry math topics. These worksheets cover various aspects of geometry, including shapes, angles, measurements, area, perimeter, and more. Geometry worksheets are widely used in classrooms, homeschooling, and as supplementary resources to reinforce geometry lessons. Here’s an overview of geometry worksheets and their significance in math education:

Types of Geometry Worksheets:

Shapes and Figures :

These worksheets focus on identifying and classifying different shapes, such as triangles, rectangles, circles, and polygons. Students may need to count sides, recognize properties, or draw specific shapes. Shapes and figures worksheets are educational materials designed to help students learn about various geometric shapes and figures. These worksheets are particularly useful in early education and mathematics instruction, as they introduce students to the fundamental concepts of geometry, including the recognition, identification, and properties of different shapes. Here’s an overview of shapes and figures worksheets and how they benefit students:

Key Concepts Covered in Shapes and Figures Worksheets:

Shape Recognition : These worksheets introduce students to different geometric shapes, such as circles, triangles, rectangles, squares, pentagons, hexagons, and more. Students learn to identify and name these shapes.

Attributes of Shapes : Worksheets often include questions or exercises that focus on the attributes or properties of shapes, such as the number of sides, angles, and whether the shape is regular or irregular.

Classification : Students classify shapes into categories based on their characteristics. For example, they may distinguish between two-dimensional (2D) and three-dimensional (3D) shapes.

Matching : Matching activities involve associating shapes with their corresponding names or properties.

Drawing and Coloring : Some worksheets allow students to draw and color shapes, helping them develop fine motor skills and reinforcing their understanding of shape characteristics.

Shape Combinations : More advanced worksheets may involve creating new shapes by combining or dissecting existing shapes. This encourages creative thinking.

Benefits of Shapes and Figures Worksheets:

Foundational Knowledge : Shapes and figures worksheets lay the foundation for more advanced geometry concepts. Students learn to recognize and describe shapes accurately.

Visual Learning : The visual representation of shapes on worksheets helps students understand geometric concepts better.

Critical Thinking : Worksheets often include problem-solving exercises that require students to apply their knowledge and think critically.

Fine Motor Skills : Drawing and coloring shapes contribute to the development of fine motor skills and hand-eye coordination, especially in younger students.

Language Development : Students learn to use geometric vocabulary to describe shapes, which contributes to language development.

Where to Find Shapes and Figures Worksheets:

Educational Websites : Many educational websites provide free shapes and figures worksheets suitable for various grade levels. Examples include mathplay4kids.com.com, Mathzone4kids.com, and math4champions.com.

Math Curriculum Providers : Publishers of math curricula often offer free sample worksheets on their websites, including those related to shapes and figures.

Teachers and Educational Blogs : Some teachers and educational bloggers create and share shapes and figures worksheets as part of their resources.

Tips for Using Shapes and Figures Worksheets:

Progressive Learning : Start with basic shapes and gradually introduce more complex figures as students become proficient.

Hands-On Activities : Combine worksheets with hands-on activities, such as using manipulatives to explore shapes in the real world.

Visual Aids : Use visuals and real-life examples to help students relate shapes to their environment.

Engage in Discussions : Encourage students to discuss the attributes and properties of shapes, fostering a deeper understanding of geometry concepts.

shapes and figures worksheets are valuable tools for teaching students about geometry in an engaging and visual manner. They provide the foundation for geometric knowledge and help students develop critical thinking skills while exploring the world of shapes and figures. Whether in a classroom or homeschooling setting, these worksheets support math education and the development of important mathematical concepts.

1- Angles and Lines :

Worksheets in this category teach students about angles, lines, and their relationships. They may involve measuring angles, classifying angles (e.g., acute, obtuse, right angles), and identifying types of lines (e.g., parallel, perpendicular).

Angles and lines are fundamental concepts in geometry, providing the building blocks for understanding shapes, figures, and various geometric properties. These concepts are essential in mathematics, science, engineering, and various real-world applications. Here’s an overview of angles and lines, their definitions, properties, and significance:

Angles worksheets

An angle is a geometric figure formed by two rays (or line segments) that share a common endpoint called the vertex. Angles are measured in degrees (°) and are a fundamental unit of angular measurement. Some key aspects of angles include:

Angle Measurement : Angles are typically measured in degrees, with a full circle being 360 degrees. Common angle measures include 90 degrees (a right angle), 180 degrees (a straight angle), and acute angles (less than 90 degrees) and obtuse angles (greater than 90 degrees).

Types of Angles :

• Acute Angle : An angle measuring less than 90 degrees.
• Right Angle : An angle measuring exactly 90 degrees.
• Obtuse Angle : An angle measuring more than 90 degrees but less than 180 degrees.
• Straight Angle : An angle measuring exactly 180 degrees.
• Reflex Angle : An angle measuring more than 180 degrees but less than 360 degrees.
• Full Angle : An angle measuring 360 degrees (a complete circle).
• Complementary Angles : Two angles whose measures add up to 90 degrees.
• Supplementary Angles : Two angles whose measures add up to 180 degrees.
• Vertical Angles : Pairs of opposite angles formed by intersecting lines. They are always congruent (have equal measures).

Measuring Angles : Protractors are tools used to measure and draw angles accurately. Students often learn to use protractors in geometry classes.

Lines are fundamental in geometry and serve as a reference point for understanding angles and shapes. Some key aspects of lines include:

Line Definition : A line is a straight, continuous path that extends infinitely in both directions. It has no endpoints.

Types of Lines :

• Line Segment : A part of a line with two endpoints.
• Ray : A portion of a line that starts at one endpoint and extends infinitely in one direction.
• Parallel Lines : Lines that run in the same direction and maintain a consistent distance from each other, never intersecting.
• Intersecting Lines : Lines that cross or meet at a common point.
• Perpendicular Lines : Lines that intersect at a right angle (90 degrees).

Line Notation : Lines can be represented using symbols and notation. For example, a line may be labeled as “AB,” indicating it passes through points A and B.

Line Segments : Line segments have two endpoints and a specific length. They are often used in measurements and geometric constructions.

Significance of Angles and Lines:

Foundation of Geometry : Angles and lines form the basis of geometry, serving as the foundational concepts upon which more complex geometric concepts are built.

Measurement and Calculation : Angles are essential for measuring directions, rotations, and relationships between objects. Lines provide a reference for measuring lengths and distances.

Geometric Constructions : Angles and lines play a crucial role in geometric constructions, allowing the creation of shapes and figures with specific properties.

Architectural and Engineering Applications : Architects and engineers use angles and lines extensively in designing structures and systems.

2-Measurement Worksheets

These worksheets cover topics related to measurement, including length, area, perimeter, and volume. Students solve problems involving calculations of dimensions and units.

Measurement worksheets are educational tools that help students learn and practice the fundamental skills and concepts related to measurement. These worksheets cover a wide range of topics, including length, mass, capacity, time, and temperature, and they are valuable resources for developing practical math skills. Here’s an overview of measurement worksheets, their objectives, and their significance in math education:

Key Objectives of Measurement Worksheets:

Unit Familiarization : Measurement worksheets introduce students to various units of measurement, such as inches, feet, centimeters, grams, liters, seconds, and degrees.

Measurement Conversion : Worksheets often include exercises that require students to convert measurements between different units. This helps students develop an understanding of equivalent measures.

Precision and Accuracy : Measurement worksheets encourage students to practice measuring accurately and precisely, emphasizing the importance of proper measurement techniques.

Problem-Solving : Many worksheets include real-world scenarios that involve measurements, challenging students to apply their measurement skills to solve practical problems.

Estimation : Students learn to estimate measurements, which is a valuable skill for making quick calculations in everyday life.

Comparisons : Worksheets often involve comparing measurements, helping students understand concepts like greater than, less than, and equal to in the context of measurement.

Types of Measurement Worksheets:

Length and Distance : These worksheets focus on measuring and comparing lengths, using units like inches, feet, centimeters, and meters.

Mass and Weight : Worksheets related to mass and weight involve measuring and comparing the heaviness of objects using units like grams and kilograms.

Capacity and Volume : These worksheets teach students how to measure and compare the capacity or volume of containers using units like milliliters and liters.

Time and Duration : Worksheets in this category cover the measurement of time, including reading clocks, calculating time intervals, and understanding concepts like hours, minutes, and seconds.

Temperature : Students practice measuring temperature using units like Celsius and Fahrenheit and learn to convert between them.

Geometry and Area : Some measurement worksheets are related to measuring areas of shapes and surfaces, which involves length and width measurements.

Benefits of Measurement Worksheets:

Real-Life Application : Measurement is a practical skill used in everyday life, and these worksheets help students develop the ability to apply measurement concepts in various situations.

Mathematical Proficiency : Measurement worksheets contribute to students’ mathematical proficiency by enhancing their problem-solving and critical thinking skills.

Standardized Testing Preparation : Proficiency in measurement concepts is often assessed in standardized tests, making these worksheets valuable for test preparation.

Hands-On Learning : Measurement often involves hands-on activities, making these worksheets engaging and interactive.

Progress Monitoring : Teachers can use measurement worksheets to assess students’ progress and identify areas that require additional instruction or practice. Measurement worksheets are valuable tools for teaching and reinforcing essential measurement skills in students. They provide opportunities for practice, reinforcement, and application of measurement concepts, helping students become proficient in this crucial aspect of mathematics and daily life. Whether in a classroom or homeschooling setting, these worksheets support math education and the development of practical mathematical skills.

Geometry Proofs : More advanced worksheets may involve geometric proofs, where students use deductive reasoning to prove theorems and geometric concepts.

Geometric Transformations : Worksheets related to transformations explore concepts such as reflection, translation, rotation, and symmetry.

Coordinate Geometry : These worksheets introduce the Cartesian coordinate system and teach students how to plot points, find distances, and calculate slopes.

Geometry Puzzles : Some worksheets include geometric puzzles and brain teasers that challenge students’ problem-solving skills while reinforcing geometry concepts.

Benefits of Geometry Worksheets:

Concept Reinforcement : Worksheets help reinforce geometric concepts learned in class, allowing students to practice and apply what they’ve learned.

Skill Development : Students develop critical thinking, problem-solving, and spatial reasoning skills while working on geometry worksheets.

Self-Paced Learning : Worksheets can be completed at the student’s own pace, allowing for individualized learning and practice.

Visual Learning : Geometry worksheets often include diagrams and illustrations that enhance visual understanding of geometric concepts.

Assessment and Evaluation : Teachers and parents can use worksheets as assessment tools to gauge students’ understanding of geometry topics.

Supplementary Learning : Worksheets can complement textbooks and classroom instruction, providing additional practice and review.

Where to Find Geometry Worksheets:

Math Curriculum Providers : Publishers of math curricula often provide free sample worksheets on their websites, aligning with their curriculum materials.

Math Learning Platforms : Dedicated math learning platforms like Mathplay4kids.com and Mathzone4kids.com offer a wide range of free printable geometry worksheets.

Teachers and Educational Blogs : Some teachers and educational bloggers create and share geometry worksheets as part of their resources.

Tips for Using Geometry Worksheets:

Choose Appropriate Level : Select worksheets that match the grade level and skill level of the students.

Variety of Topics : Cover a variety of geometry topics to provide a well-rounded understanding of the subject.

Use as Review : Geometry worksheets can be used for review before quizzes or tests to reinforce learning.

Hands-On Activities : Combine worksheets with hands-on geometry activities, such as constructing shapes using manipulatives.

Encourage Discussion : Encourage students to discuss their solutions and thought processes with peers or teachers to deepen their understanding.

In summary, geometry worksheets are versatile tools that play a crucial role in teaching and learning geometric concepts. They provide opportunities for practice, reinforcement, and assessment, helping students build a solid foundation in geometry and develop valuable mathematical skills. Whether in a traditional classroom, homeschooling setting, or as supplementary practice, geometry worksheets are valuable resources for math education

The word Geometry is derived from the two ancient Greek words, “Geo” and “Metron” where Geo stands for Earth and Metron stands for measurements .

Geometry is the branch of mathematics that deals with shapes (Circle, triangle, rectangle, oval, square, etc.), angles, dimensions, and sizes of a variety of things that we experience in our daily life.  This branch of mathematics lets us learn about different angles, transformations, and similarities in the figures. Some of the examples of topics of geometry are explained below:

1.      Calculate The Area of a Circle

To calculate the area of a circle the following formula is used:

A = πr 2    Where,  A = Area of the circle , π = constant = 3.14,  r = radius

Implementation: Calculate the area of a circle with a radius of 15cm.

π = 3.14, r = 15 cm .  A = (3.14) (15) 2    A = (3.14) (225  Thus  A = 706.5 cm 2

2.      Calculate The Circumference of Circles

To calculate the circumference of a circle the following formula is used:

c = 2πr ,  Where, c = circumference, r = for radius  and π = constant = 3.14

Implementation: Calculate the circumference of a circle with an 8 cm radius.  C = 2πr , C = 2(3.14) (8)  Thus C = 2 (25.12)  C = 50.24 cm

3.      Perimeter and Area of Equilateral Triangles

A type of triangle whose all three sides are equal, as well as all the three angles, is equal to 60° each is known as an Equilateral Triangle.  To calculate the perimeter of an equilateral triangle the sum of its three sides is calculated hence the formula is,  P = 3a , Where, P = Perimeter , a = one side of the triangle.  Since an equilateral triangle has equal sides the sum is represented as 3a

Implementation: Find the perimeter of an equilateral triangle with a side of 9 units. P = 3a, a = 9,  P = 3 (9), thus P= 27 units.

4.      The Area of Circles with Diameter Values.

The area of a circle can also be calculated using the diameter when the radius is unknown with the following formula: A = (π/4) × d2.

Where A = area , π = constant = 3.14 and d = diameter

Implementation: How to Calculate the area of a circle with a diameter of 20 inches. A = (π/4) × d 2  A = (3.14/4) × (20) 2  A = 0.785 × 400

Thus A = 314 cm 2

5.      The Area of Rectangles

The area of a rectangle is the easiest to find. The formula for calculating the area of a rectangle is as follows:

Area of rectangle = Length x Width

Implementation : How to Calculate the area of the following rectangle

l= 2 units   L=  6  units.   Since  Area of rectangle = Length x Width  this means   A = 6 x 2  thus  A = 12 cm 2

6.     Find The Volume of Cubes

The total three-dimensional space occupied by a cube is known as its volume. To find the volume of a cube, the edge length is multiplied three times hence the following formula volume:   The volume of a cube = s3 or s x s x s   Where,   S = the side of the cube.

Implementation:

Find the volume of a cube with an edge length of 14.  The volume of a cube = (14) 3 Or 14 x 14 x 14.  The volume of a cube = 2744

7.      How to find the  Volume and Area of Cylinders ?  The volume of a cylinder can be calculated with the help of the radius and height of the cylinder.

The volume of a cylinder (V) = π r 2 h    Where,  π = Constant = 3.14.  r = radius.  h = height

Implementation:  Finding the volume of a cylinder having a radius of 50 cm and a height of 100 cm.

V = π r2 h ,  V = (3.14) (50) 2 (100);  V = (3.14) (2500) (100)  this means  V = 785,000 cm. 3    The Surface Area of the Cylinder is the sum of the curved surface and the area of two circular bases of the cylinder.

Formula:   Total Surface Area of a Cylinder = Curved Surface + Area of Circular bases.   Curved Surface Area = 2π × r × h

Area of Circular Base .= 2 πr 2 Total Surface Area of a Cylinder = (2 πrh) + (2 πr 2 ).   Hence,    A = 2πr (h + r) sq. Unit      Where,   π = 3.14.  r = radius

Implementation:   Find the surface area of a cylinder having a 50 cm radius and 100 cm height.    A = 2πr (h + r)   A = 2(3.14)(50) (100+50).   A = (314) (150).  A = 464 sq. unit

8.      Geometry Measure Angles.  There are six angles in geometry:    Acute Angle – 90 degree ;    Right Angle – 90 degree;   Obtuse Angle – Greater than 90 degrees and less than 180 degrees.   Straight Angle – 180 degre Reflex Angle – Greater than 180 degrees.   Full Rotation – Exact 360 degree

Perimeter and Area of an Isosceles Triangle

A type of triangle whose two sides are of an equal length and the two angles opposite to the equal side are the same is known as an isosceles triangle. To calculate the perimeter and area of a triangle, the lengths of the equal sides and base are measured.

The Perimeter of an isosceles triangle (P) = 2a + b .  Where,  a = length of equal sides ;  b = base. Hence, the  The area of an isosceles triangle would be          A = ½ × b × h   Where,  b = base and  h = height.

Example, Find the perimeter and area of an isosceles triangle having two equal sides measuring 4 cm, height 5 cm, and a base of 5 cm .

P = 2 (4) + 5

A = ½ × b × h

A = ½ × 5 × 5 A = ½ × 25

A = 12.5 cm 2

10. Perimeter and Area of a Parallelogram

A type of rectangle that is slanted and has equal parallel/opposite sides is called a parallelogram.

Perimeter of a parallelogram = 2 (a + b)

Area of Parallelogram = b × h

Where, a = adjacent side length

b = base length

Find the area of a parallelogram having a 10 cm base, 3.5 cm height, and 5 cm adjacent side length.

Perimeter = 2 (a + b)

P = 2 (5 + 3.5) P = 2 (8.5) P = 17 cm

Area = b x h

A = 10 x 3.5

A = 35 cm 2

11. Perimeter and Area of L Shapes

To find the area of L shapes, first, we need to divide the shape into to rectangles. Secondly, find the area of both rectangles. The sum of the area of those two rectangles is the total area of an L shape.

The area of rectangle A is 14 × 5 = 70 cm²

The area of rectangle B is 2 × 3 = 6 cm²

The area of L shape = 70 + 6

12. Perimeter and Area of Right Angled Triangles

The perimeter of a right-angled triangle is calculated by adding up all its sides. Hence,

The perimeter of right-angled triangle P = a + b + c

c = hypotenuse

When one of the sides is unknown, we can apply the Pythagoras theorem to find the missing side by (Hypotenuse) 2 = (Base) 2 + (Height) 2

The area of a right-angled triangle is calculated using A = ½ × b × h

13. Perimeter and Area of Trapezoids

A quadrilateral having only two of its sides parallel is known as a trapezoid. These parallel sides are called the bases of a trapezoid. The area of a trapezoid is calculated using

The area of a trapezoid is A=½ h(b1+b2)

h = the perpendicular distance between the bases.

b1 and b2 = bases or parallel sides.

Find the area of a trapezoid.

21 cm

41 cm

A = ½ h(b1+b2)

A = ½ (18) (21 + 41)

A = (9) (62)

A = 558 units 2

14. Perimeter of Rectangles

The perimeter of a rectangle is calculated using its length and width.

The formula states:

P = (L + W) × 2

P = perimeter

18 feet

10 feet

P = (L +W) x 2

P = (18 + 10) x 2

P = 56 feet

15. Pythagorean Theorem

The fundamental relation between the three sides of a right triangle is called Pythagoras or Pythagorean Theorem. This theorem states that the square of the hypotenuse (the side opposite to the right angle) is equal to the sum of the areas of the squares on the other two sides.

It is represented as:

(Hypotenuse) 2 = (Base) 2 + (Height) 2

3 units 2                                                    5 units 2

4 units 2

Applying Pythagoras theorem:

(Hypotenuse) 2 = (Base) 2 + (Height) 2

(5) 2 = (4) 2 + (3) 2

25 = 16 + 9

25 = 25 Proved.

16. Perimeter and Area of Scalene Triangles

A type of triangle whose all sides are of different measures, as well as all the angles are also of different measures is known as the Scalene triangle.

The area of the scalene triangle is equal to half of the product of its base length and height.

Area = (1/2) x b x h square units

Perimeter is equal to the sum of its three unequal sides.

Perimeter = a + b + c units

17. Volume and Area of a Cone

A three-dimensional geometric shape having a circular base that tapers from a flat base to a point called apex or vertex is known as a cone.

To calculate the volume of a cone following formula is used:

V = (1/3) πr 2 h

To calculate the area of a cone following the formula is used:

A = 𝜋 r (l + r) square units

r = radius of the circular base

l = height of the cone

Calculate the volume and area of a cone having a radius of 2 cm and height of 5 cm.

The volume of the cone:

V = (1/3) (3.14) (2) 2 (5)

V = 20.93 cm 3

The area of the cone:

A = 𝜋 r (l + r)

A = (3.14) (2) (5 + 2)

A = (6.28) (7)

A = 43.96 sq. Units

18. Volume and Area of Rectangular Prisms

A solid shape that is bound on all its sides by plane faces is known as a prism.

To calculate the volume of a rectangular prism following formula is used:

V = base area × height of the prism

To calculate the area of a rectangular prism following formula is used:

A = length × width

Calculate the volume of a rectangular prism whose height is 8 in and the base area is 90 square inches.

V = 720 cubic inches

Calculate the area of a rectangular prism whose base length is 6 in and the width is 9 in

A = 54 cubic inches

Geometry Worksheets

Geometry worksheets introduce students to various types of shapes, angles, symmetry, line, slope, area, perimeter, volume, etc. As the scope of the topic is very vast, it is necessary for students to get the right type of worksheet that will clear their concepts rather than confuse them.

Benefits of Geometry Worksheets

Geometry is one of the most important branches of mathematics. Solving these worksheets will enable students to develop an in-depth understanding of various concepts of geometry.

Students work with different types of shapes ranging from triangles, quadrilaterals, and composite figures to different types of angles, etc. These math worksheets start with using simple concepts of point and line and gradually the level starts increasing where students have to solve more complex problems that might involve formula manipulations.

The main benefit of such worksheets is that they can further apply these concepts to real-life situations.

By getting sufficient practice, a student is sure to flourish in the topic. Students can download these worksheets in PDF for free, making them easy to use.

☛ Check Grade wise Geometry Worksheets

• Kindergarten Geometry Worksheets
• Geometry Worksheets for Grade 1
• Geometry Worksheets for Grade 3
• Geometry Worksheets for Grade 4
• Geometry Worksheets for Grade 6
• Geometry Worksheets for Grade 7

Free Math Printable Worksheets with Answer Keys and Activities

Other free resources.

Feel free to download and enjoy these free worksheets on functions and relations. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

• Long Division with Remainders
• Long Division with Remainders #2 (Zeros in the Quotient)
• Long Division with 2 Digit Divisors
• Whole Number by Unit Fraction
• Equation of Circle
• Simplify Imaginary Numbers
• Adding and Subtracting Complex Numbers
• Multiplying Complex Numbers
• Dividing Complex Numbers
• End of Unit, Review Sheet
• Distance Formula
• Simplify Rational Exponents (Algebra 2)
• Solve Equations with Rational Exponents (Algebra 2)
• Solve Equations with variables in Exponents (Algebra 2)
• Exponential Growth (no answer key on this one, sorry)
• Compound Interest Worksheet #1 (No logs)
• Compound Interest Worksheet (Logarithms required)
• Factor Trinomials Worksheet
• Factor by Grouping
• Domain and Range (Algebra 1)
• Functions vs Relations (Distinguish function from relation, state domain etc..) (Algebra 2)
• Evaluating Functions (Algebra 2)
• 1 to 1 Functions (Algebra 2)
• Composition of Functions (Algebra 2)
• Inverse Functions Worksheet (Algebra 2)
• Operations with Functions (Algebra 2)
• Functions Review Worksheet (Algebra 2)
• Logarithmic Equations
• Properties of Logarithms Worksheet
• Product Rule of Logarithms
• Power Rule of Logarithms
• Quotient Rule of Logarithms
• Solve Quadratic Equations by Factoring
• Quadratic Formula Worksheets (3 different sheets)
• Quadratic Formula Worksheet (Real solutions)
• Quadratic Formula (Both real and complex solutions)
• Discriminant and Nature of the Roots
• Solve Quadratic Equations by Completing the Square
• Sum and Product of Roots
• Mixed Problems on Writing Equations of Lines
• Slope Intercept Form Worksheet
• Standard Form Worksheet
• Point Slope Worksheet
• Write Equation of Line from the Slope and 1 Point
• Write Equation of Line From Two Points
• Equation of Line Parallel to Another Line and Through a Point
• Equation of Line Perpendicular to Another Line and Through a Point
• Slope of a Line
• Perpendicular Bisector of Segment
• Write Equation of Line Mixed Review
• Word Problems
• Multiplying Monomials Worksheet
• Multiplying and Dividing Monomials Sheet
• Adding and Subtracting Polynomials worksheet
• Multiplying Monomials with Polynomials Worksheet
• Multiplying Binomials Worksheet
• Multiplying Polynomials
• Simplifying Polynomials
• Factoring Trinomials
• Operations with Polynomials Worksheet
• Rationalizing the Denominator (Algebra 2)
• Solve Systems of Equations Graphically
• Solve Systems of Equations by Elimination
• Solve by Substitution
• Solve Systems of Equations (Mixed Review)
• Activity on Systems of Equations (Create an advertisement for your favorite method to Solve Systems of Equations )
• Real World Connections (Compare cell phone plans)
• Identifying Fractions

Trigonomnetry

• Law of Sines and Cosines Worksheet (This sheet is a summative worksheet that focuses on deciding when to use the law of sines or cosines as well as on using both formulas to solve for a single triangle's side or angle)
• Law of Sines
• Ambiguous Case of the Law of Sines
• Law of Cosines
• Vector Worksheet
• Sine, Cosine, Tangent, to Find Side Length
• Sine, Cosine, Tangent Chart
• Inverse Trig Functions
• Real World Applications of SOHCATOA
• Mixed Review
• Unit Circle Worksheet
• Graphing Sine and Cosine Worksheet
• Sine Cosine Graphs with Vertical Translations
• Sine, Cosine, Tangent Graphs with Phase Shifts
• Sine, Cosine, Tangent Graphs with Change in Period, Amplitude and Phase Shifts (All Translations)
• Tangent Equation, Graph Worksheet
• Graphing Sine, Cosine, Tangent with Change in Period
• Cumulative, Summative Worksheet on Periodic Trig Functions - period, amplitude, phase shift, radians, degrees,unit circle
• Ratio and Proportion
• Similar Polygons
• Area of Triangle
• Interior Angles of Polygons
• Exterior Angles of Polygons

Arcs and Angles formed by Intersecting Chords

Angles and arcs formed by tangents and secants

Tangents, Secants and Side Lengths

Math Worksheet on the Angle formed by the intersection of a Tangent and a Chord

Cumulative Review Problems of All Formulas

• Associated Powerpoint
• Associated PowerPoint
• System of Linear Equations Worksheet
• System of Linear Equations - Real World Application
• Compositions of Reflections. Reflections Over Intersecting Lines as Rotations

All of these worksheets and activities are available for free so long as they are used solely for educational, noncommercial purposes and are not distributed outside of a specific teacher's classroom.

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

Popular pages @ mathwarehouse.com.

Free Math Worksheets by Math-Drills

Math-Drills.com includes over 70,000 free math worksheets that may be used to help students learn math. Our math worksheets are available on a broad range of topics including number sense, arithmetic, pre-algebra, geometry, measurement, money concepts and much more. There are two interactive math features: the math flash cards and dots math game.

Math-Drills.com was launched in 2005 with around 400 math worksheets. Since then, tens of thousands more math worksheets have been added. The website and content continues to be improved based on feedback and suggestions from our users and our own knowledge of effective math practices.

Most Math-Drills users are classroom teachers or parents. Classroom teachers use our math worksheets to assess student mastery of basic math facts, to give students extra math practice, to teach new math strategies, and to save precious planning time. Parents use our math worksheets to give their children extra math practice over school breaks and to enhance their math education. Home schools use our math worksheets in their programs to develop and strengthen math skills in their children.

Supporting Student Learning with Free Math Worksheets by Math-Drills

Math-Drills believes that education should be accessible to all children despite their socioeconomic situation or any other factors. Since it began in 2005, all the math worksheets on Math-Drills have been free-to-use with students learning math. The Math-Drills website works well on any device and worksheets can be printed or used on a screen.

Math-Drills worksheets are also used in special education, adult education, tutoring, colleges, high schools, prisons and a variety of other situations. Special education teachers especially like that we break down math skills and provide large-print options. Adult learners appreciate the simple uncluttered format that our worksheets offer. Tutors use our math worksheets to reduce their costs and focus on student learning. High school, college and university educators sometimes need remedial resources for students to allow them to continue with more advanced topics.

Students who practice their math skills with our math worksheets over school breaks keep their math skills sharp for upcoming school terms. Because we provide answer keys, students are able to self-assess and use the immediate feedback provided by an answer key to analyze and correct errors in their work. Our interactive (fillable) math worksheets allow them to fill in their answers on the screen and save or print the results.

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High School Geometry Worksheets with Answers

• Separate answers are included to make marking easy and quick.
• Over 100 pages of the highest quality Geometry math worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
• Single user license for parents or teachers. Separate school licenses are available here
• Single digital pdf download, with worksheets organized into high level chapters of Algebra, Statistics, Number and Geometry, and further by subtopics. See below for the extensive range of sheets included.

List of Topics

Our High School Geometry printable math worksheets cover the full range of topics. See below the list of topics covered. See below the list of topics covered. All our math worksheets can be accessed here.

PEMDAS Expanding Brackets Factorising Indices Inequalities Linear Functions Real Life Graphs Rearranging Equations Sequences Simplification Solving Equations (linear equations) Substitution

Calculator Methods Decimals Fractions Fractions Decimals Percentages Mental Methods Negative Numbers Percentages Place Value Powers Proportion Ratio Rounding Time Types of Number Written Methods

2D Shapes 3D Shapes Area and Perimeter Bearings Scale and Loci Circles Compound Measures Constructions Coordinates Lines and Angles Polygons Pythagoras (Pythagorean theorem) Similarity and Congruence Transformations Volume and Surface Area

Histograms and Frequency Polygons Mean Median Mode Pie Charts and Bar Charts Probability Scatter Graphs Stem-and-Leaf Diagrams Two-Way Tables and Pictograms

GET 30 FREE MATH WORKSHEETS!

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Free Printable geometry Worksheets for 10th Grade

Math geometry worksheets for Grade 10 students: Discover a collection of free printable resources to enhance your students' understanding of geometric concepts, created by Quizizz.

Recommended Topics for you

• congruent triangles sss sas and asa
• converse pythagoras theorem
• volume and surface area
• transversal of parallel lines
• area of rectangles and parallelograms
• volume and surface area of cones
• arcs and chords
• regular and irregular polygons
• area and perimeter
• volume and surface area of prisms
• properties of parallelograms
• volume and surface area of cubes
• properties of squares and rectangles
• angle side relationships in triangles
• inscribed angles
• distance between two parallel lines
• area and circumference of circles
• tangent lines
• congruency in isosceles and equilateral triangles
• herons formula
• distance formula
• midpoint formula
• exterior angle property
• properties of rhombuses

10th - 12th

• kindergarten

Explore geometry Worksheets for grade 10 by Topic

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• social studies

Explore printable geometry worksheets for 10th Grade

Geometry worksheets for Grade 10 are essential tools that teachers can use to help their students master the concepts of geometry at this crucial stage in their education. These worksheets cover a wide range of topics, from basic shapes and angles to more advanced concepts like similarity, congruence, and trigonometry. As a teacher, you know that providing your students with engaging and challenging materials is key to their success in math. By incorporating Grade 10 geometry worksheets into your lesson plans, you can ensure that your students have ample opportunities to practice and apply the skills they've learned in class. Furthermore, these worksheets can be used as a formative assessment tool, allowing you to gauge your students' understanding of the material and identify areas where they may need additional support. With a variety of formats and difficulty levels available, you can easily find the perfect geometry worksheets for your Grade 10 math class.

Quizizz is an excellent resource for teachers looking to supplement their geometry worksheets for Grade 10 students. This interactive platform offers a wide range of engaging quizzes and activities that can be used alongside traditional worksheets to reinforce key concepts and provide additional practice opportunities. Teachers can create their own quizzes or choose from a vast library of pre-made quizzes, making it easy to find content that aligns with their specific curriculum and learning objectives. In addition to geometry, Quizizz also offers resources for other math topics, as well as subjects across the curriculum, making it a valuable tool for educators in any discipline. By incorporating Quizizz into your lesson plans, you can provide your Grade 10 students with a fun and interactive way to practice their math skills, while also gaining valuable insights into their progress and understanding.

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Free Math Worksheets

Printable math worksheets from k5 learning.

Our  free math worksheets  cover the full range of elementary school math skills from numbers and counting through fractions, decimals, word problems and more. All worksheets are printable files with answers on the 2nd page.

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5. GRE Math Practice: Geometry

6. Circle Geometry Grade 11 : Practice

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