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Printable Geometry Worksheets

Get the logical and creative sides of your brain working in perfect harmony with this classical discipline of math - Geometry, that has huge applications in the real world. With no room for boxed thinking, the geometry worksheets here feature exercises with 2D and 3D shapes, finding the area and perimeter, surface area and volume, learning the concept of slopes, symmetry, transformation; usage of the midpoint formula and distance formula and more.

List of Geometry Worksheets

• Line, ray and line segment
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• Ordered Pairs and Coordinate Planes

Explore the Geometry Worksheets in Detail

Position Worksheets

Rich with scads of practice, our worksheets on describing positions are the best place to bolster your spatial skills, comprehend the relative position of objects, and expand your vocabulary.

2D Shapes Worksheets

Fine-tune your motor skills with this set of 2-dimensional shape worksheets. Find umpteen attractive worksheets to cut and glue 2D shapes, identify shapes, trace and color, name and match shapes, draw and count shapes, sides and corners and a lot more.

3D Shapes Worksheets

Get your geometry basics in shape with these 3D shapes worksheets featuring charts and exercises to identify and label 3D shapes, and associate them with real-life objects. Comprehend the properties of 3D shapes, and know the nets of solid figures like the back of your hand.

Line, ray and line segment Worksheets

Utilize this collection of line, ray and line segment worksheets to gain an in-depth knowledge of the concept. Included here are vibrant charts and activity sheets to identify, name and draw lines, rays and segments, simple word problems and a lot more.

Points, lines and planes Worksheets

The assemblage here contains plenty of points, lines and planes PDFs to get the concept clear. Learn about collinear and non-collinear points, answer questions based on the given figures and comprehend concepts like coplanar and more.

Angles Worksheets

Navigate through the cluster of geometry worksheets here that contains innumerable exercises from identifying, naming and classifying angles, to finding angles formed by a transversal, triangle, quadrilateral, polygon and measuring angles using a protractor, complementary and supplementary angles to mention a few.

Symmetry Worksheets

Utilize this array of symmetry worksheets to identify the line of symmetry in objects and letters, drawing the line of symmetry, completing the mirror image in standard and grid form, finding the perimeter, paper folding and cut-paste activities to mention just a few.

Transformation Worksheets

Check out these transformation worksheets that contain visually appealing activities to identify transformations of real-life objects-slide, flip and turn, translation, rotation and reflection, transformation of shapes, triangles, quadrilaterals, writing rules, coordinates and much more.

Area Worksheets

The multitude of printable area worksheets here is apt for learning to find the area of rectangles, triangles, circles, polygons, to mention a few; both metric and customary units are available. Also, included are attractive worksheets to find the area of regular and irregular shapes using grids and a lot more.

Perimeter Worksheets

Choose from a multitude of perimeter worksheets to find the perimeter of regular shapes like rectangle, triangle, quadrilateral, polygon, the circumference of a circle; irregular shapes, finding perimeter using a grid to name a few.

Rectangle Worksheets

This collection of geometry worksheets has all you need to know about rectangles, activities like color and trace rectangles, finding the area and perimeter of a rectangle, rectangular path length, width and diagonals, the side length of a square, area and perimeter of a square and more.

Triangle Worksheets

This compilation has tailor-made geometry worksheets to recognize the type of triangles based on sides and angles, finding angles both interior and exterior, length of the sides, the perimeter with congruent properties, the area of a triangle, isosceles, scalene, equilateral; inequality theorem and much more.

Circle Worksheets

This set of circle worksheets is an important addition to build your knowledge. The worksheets encompass exercises like finding the area and circumference of a circle, area of a segment, finding the radius, diameter, arc length, area of the sector to name a few.

Quadrilateral Worksheets

The geometry worksheets here concentrate precisely on the different types of quadrilaterals with skills to identify and name quadrilaterals, find the perimeter of quadrilaterals - standard and based on properties, finding the area of a parallelogram, rhombus, trapezoid, kite, quadrilaterals and many more with ample interesting activities.

Polygon Worksheets

Take a look at this collection of polygon worksheets that feature tasks like recognizing a polygon - regular / irregular, concave / convex, finding the area and perimeter of polygons, angles both interior and exterior to mention a few.

Ordered Pairs and Coordinate Plane Worksheets

Hone your skills in this crucial aspect of graphing with the batch of ordered pairs and coordinate plane worksheets here, featuring tasks to identify the position, ordered pairs, quadrants and axes with and without grids; plotting ordered pairs and coordinates, changing positions or directions and a lot more.

Midpoint Formula Worksheets

Incorporate this unit of geometry worksheets to find the midpoint on a number line, on grids, by using the formula, to plug in the missing coordinates, finding endpoints with varied levels of difficulty.

Distance Formula Worksheets

Understand the application of distance formula better with this plethora of geometry worksheets, find the length of the number line, line segments, length of sides in shapes; distance formula with the Pythagorean theorem, with midpoint formula; classifying triangles and quadrilaterals and its application in geometry as well.

Slope Worksheets

Explain the concept with the slope worksheets here to identify positive and negative slopes, graph the line, find the rise and run, find the slope using the ratio method, two point formula, slope-intercept formula and a lot more.

Parallel, Perpendicular and Intersecting Lines Worksheets

Employ this interesting compilation of parallel, perpendicular and intersecting lines worksheets to identify the type of lines, draw the types of lines, analyze the transversal to answer the questions, learn the concept of parallel and perpendicular, the relationship between points and slopes to mention a few.

Scale Factor Worksheets

Incorporate these scale factor worksheets to learn to dilate shapes, to determine the coordinates of the original or dilated shapes, to dilate shapes with origin at center and origin not at center. Also, comprehend the influence of scale factor on area, perimeter, volume and surface area.

Surface Area Worksheets

Check out an extensive collection of printable geometry worksheets here to find the surface areas of prisms, cylinders, pyramids and polygonal pyramids, hemispheres and spheres, and cones; find the surface area of combined shapes, available in varied levels of difficulty.

Volume Worksheets

An assemblage of comprehensive volume worksheets here provides a great way to find the volume of rectangular, triangular and polygonal prisms, cones, cylinders and spheres, hemispheres, rectangular pyramids, the volume of mixed and combined shapes and a lot more.

Pythagorean Theorem Worksheets

These great to use printable geometry worksheets contain a variety of tasks to learn the Pythagorean theorem through descriptive charts, PDFs to identify the right angle triangle, Pythagorean triple, finding unknown lengths and sides and word problems too.

Trigonometry Worksheets

The trigonometry worksheets feature adequate charts and exercises to find the quadrants and angles, learn to convert between radians and degrees, accurately measure the angles, find the reference and coterminal angles, determine the trig ratios, evaluate and verify using the trig identities. Also, included are PDFs for unit circle, allied angles, inverse trig ratios and more.

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Free Geometry Worksheets pdf Download

Calculate The Area Of A Circle

Calculate The Circumference And Area Of Circles

Calculate The Circumference Of Circles

Find Perimeter And Area Of Equilateral Triangles

Find The Area Of Circles With Diameter Values

Find The Area Of Rectangles

Find The Volume Of Cubes

Find Volume And Area Of Cylinders

Geometry Measure Angles 2

Geometry Measure Angles

Isosceles Triangle Perimeter And Area

Measure Rectangles

Measure The Lines With A Ruler

Perimeter And Area Of A Parallelogram

Perimeter And Area Of L Shapes

Perimeter And Area Of Right Triangles

Perimeter And Area Of Trapezoids

Perimeter Of Rectangles

Pythagorean Theorem 2

Pythagorean Theorem

Scalene Triangles Perimeter And Area

Sides And Vertices Of Polygons

Volume And Area Of A Cone

Volume And Area Of Rectangular Prisms

Types of angle & measurement, units of capacity conversion, cartesian coordinates  , reading a thermometer, circle area and  circumference, different types of angles, feet to meters conversion, 1 meter to feet conversion, how many cubes feet in a yard, worksheet on bar graph, polygons shapes with names, metric conversion pdf, rectangle area and perimeter, conversion of temperature, weights conversion units, weights conversion.

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.

Download Geometry Worksheet PDFs

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
• 2nd Grade Geometry Worksheets
• Geometry Worksheets for Grade 3
• Geometry Worksheets for Grade 4
• 5th Grade Geometry Worksheets
• Geometry Worksheets for Grade 6
• Geometry Worksheets for Grade 7
• 8th Grade Geometry Worksheets