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Geometry Worksheets

Click on the Geometry worksheet set you wish to view below.

  1. Adjacent, Supplementary, Complementary, and Vertical Angles
  2. Area and Perimeter of Triangles, Parallelograms and Trapezoids
  3. Area of Polygons and Circles
  4. Area of the Circle
  5. Area of Irregular Shapes
  6. Area of a Parallelogram
  7. Building Quadrilaterals
  8. Circles - Diameter, Chord, Center, and Radius
  9. Circumference of a Circle
  10. Classifying Triangles
  11. Classify and Measure Angles
  12. Classifying and Measuring Angles
  13. Classifying Triangles
  14. Classify and Identify Polygons
  15. Corners of Shapes
  16. Determining Surface Area and Volume of Rectangular Solids
  17. Draw Lines, Line Segments, and Rays
  18. Draw the Lines Based on Points
  19. Drawing Transformations
  20. Exploring Similar Figures
  21. Finding Sides of Similar Triangles
  22. Find the Intercepts
  23. Finding Area, Perimeter, Volume of Rectangles
  24. Finding the Surface Area and Volume of a Cube
  25. Graphing Functions
  26. Graphing Inequalities
  27. Graphing Linear Systems
  28. Graphing Parabolas
  29. Graphically Represent the Inverse of a Function
  30. Graphing Linear Inequalities
  31. Graphing System of Inequalities
  32. Graphs & Equations of Lines
  33. Graphs of Circles
  34. Graphs of Parabolas
  35. Identify and Compare 3D Shapes
  36. Identifying Shapes
  37. Identify Line Reflection
  38. Identify Line Reflection
  39. Identify Line Segments, Rays, and Lines
  40. Identify Similar Triangles with Proofs
  41. Identify Quadrilaterals
  42. Identifying Translation
  43. Learning Shapes
  44. Lines and Planes
  45. Parallel and Perpendicular Lines
  46. Parallel, Intersecting, and Perpendicular Lines
  47. Perfect Squares & Perfect Square Roots
  48. Perimeter and Area of Polygons
  49. Perimeter and Circumference
  50. Prisms, Pyramids, Cylinders, Cones, and Spheres
  51. Proportional Shapes
  52. Pythagorean Theorem Word Problems
  53. Recognizing Similar and Congruent Figures
  54. Recognizing Lines of Symmetry
  55. Rotations
  56. Scatter Plots and Line of Best Fit
  57. Slope and Equation of Lines
  58. Surface Area and Volume of Solids and Cylinders
  59. Square and Square Roots
  60. The Pythagorean Theorem
  61. Transformations
  62. Transversals
  63. Two and Three Dimensional Shapes
  64. Using Coordinate Grids To Determine Area
  65. Using Venn Diagrams
  66. Volume and Surface Area of Solids and Cylinders
  67. Volume Word Problems
  68. Which Shape Doesn't Belong

Geometry Worksheet Makers

  1. Addition with Shapes
  2. Base 10 Blocks?
  3. Shapes

What is geometry?

Geometry is the branch of mathematics concerned with the properties of shapes. Elementary geometry has two main branches, one for shapes drawn on a flat surface (like a piece of paper) and another, called solid geometry, that deals with cubes, balls and other 3-dimensional shapes.

 

How is geometry used in the real world?

Geometry is used to figure out surface area and volume. It is especially useful when it's difficult to actually measure something directly. For instance, geometry can tell you how high a mountain is without having to climb it, how far away a star or planet is when you can't travel there, or how big the earth is without going all the way around with a measuring tape.

One of the newest uses is in computer games. When you play a computer game that seems realistic, it is geometry that the computer uses to display the moving characters and backgrounds on the screen. Your computer calculates the proper view and all the angles to fool your eye and brain into thinking you are seeing a real, 3-dimensional world.

 

A basic problem in geometry.

Suppose you want to figure out how much paint to buy to repaint your room. First, you would see how much area each gallon of paint covers. Then, you would use geometry to find out the surface area of the walls in your room.

Adding the surface area for each wall (and subtracting the surface area of any windows and doors which aren't painted) will give you the total area you need to paint. Finally, you buy enough paint to cover the area you calculated.

This is the same procedure used to figure out how many shingles will be needed to cover a roof, or how much carpet to cover a floor. Your house (and any building) is full of problems that were solved by geometry.

Who invented geometry?

Geometry is a very old branch of mathematics. At first, it was used in a practical way - to measure land and for navigating on the sea. The Egyptians, as early as 3000 BC, were using geometry to build their pyramids and to redraw property boundaries after the Nile river flooded (which tended to erase any landmarks).

At around 300 BC, Euclid (a famous Greek mathematician) wrote out the principles of geometry in a mathematical form. He is credited as the father of geometry because he combined numbers and mathematical formulas with the practical rules that had already been used.

An interesting fact about geometry:

As early as 200 BC, geometry was used to calculate the size of the earth. Eratosthenes was a scholar at the Library at Alexandria who realized if you measured the angle of the sun (at noon) from two widely separated places on earth, you could make an imaginary triangle.

The triangle would have two points on the earth with the third point being the sun itself. Although his measurements of the angles and the distances between the two places on the earth was off, it is amazing that such a calculation could even be attempted so long ago.

Eratosthenes calculated the circumference of the earth - 2,200 years before Columbus relied on a round earth to make his famous voyage.

High School Level Geometry


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