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Understanding Geometry: Key Concepts and Area Calculations

Explore essential geometry concepts with this comprehensive guide focused on shapes, area calculations, and fundamental terms such as perpendicular bisectors, angle bisectors, and circle measurements. This instructional resource provides clear definitions and calculations, aiding in the understanding of important geometric principles. Whether you are learning about parallelograms, trapezoids, or the properties of circles, this guide offers easy-to-follow examples and solutions to reinforce your understanding. Ideal for students and educators alike!

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Understanding Geometry: Key Concepts and Area Calculations

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  1. MSA 2012 Go Knights! Go Knights!

  2. 1 AC is a ____________. F A E B D C

  3. Answer: Diagonal

  4. 2 This figure shows a _________.

  5. Answer: Perpendicular Bisector

  6. 3 This figure shows a _____________.

  7. Answer: Perpendicular Bisector

  8. 4 This figure shows an _________.

  9. Answer: Angle Bisector

  10. 5 Angle ABC equals 80 degrees A D B C If you bisect angle ABC, then angle ABD equals ______.

  11. Answer: 40 degrees 80 divided by 2 = 40 degrees

  12. 6 This figure shows the ________ of a circle.

  13. Answer: Radius

  14. 7 This figure shows the _________ of a circle.

  15. Answer: Diameter

  16. 8 If the diameter of a circle is 14 cm then the radius is _____ cm.

  17. Answer: 7 cm 14 divided by 2 = 7 cm

  18. 9 If the radius of a circle is 3.4 cm then the diameter is _____ cm.

  19. Answer: 6.8 cm 3.4 x 2 = 6.8 cm

  20. 10 This graph is __________.

  21. Answer: Increasing

  22. 11 This graph is _________.

  23. Answer: Decreasing

  24. 12 This graph has _____________.

  25. Answer: No change

  26. 13 This line shows a graph that is _______________.

  27. Answer: Increasing

  28. 14 This line shows a graph that is _______________.

  29. Answer: Decreasing

  30. 15 This line shows a graph that has _______________.

  31. Answer: No change

  32. 16 Name this shape.

  33. Answer: Parallelogram

  34. 17 Name this shape.

  35. Answer: Trapezoid

  36. 18 Find the area of this square. 7 cm

  37. Answer: 49 square cm 7 cm x 7 cm = 49 square cm

  38. 19 Find the area of this rectangle. 5 in. 8 in.

  39. Answer: 40 square in. 8 in. x 5 in. = 40 square in.

  40. 20 Find the area of this triangle. 8 ft. 10 ft.

  41. Answer: 40 square ft. 10 x 8 = 80 80 divided by 2 = 40 square ft.

  42. 21 Find the area of this triangle. 12 ft. 5 ft. 9 ft 4 ft

  43. Answer: 10 square ft. 5 ft x 4 ft. = 20 square ft. 20 divided by 2 = 10 square ft.

  44. 22 If the area of this square is 64 square cm, what is the length of one side?

  45. Answer: 8 cm Because 8 cm x 8 cm = 64 square cm

  46. 23 If the perimeter of this square is 28 inches, what is the length of one side?

  47. Answer: 7 cm Because 28 divided by 4 = 7 cm or Because 7 + 7 + 7 + 7 = 28 cm

  48. 24 If the area of this rectangle is 42 square inches, what is the width? ? 7 in.

  49. Answer: 6 in. 42 divided by 7 = 6 in. or 6 in. x 7 in. = 42 square in.

  50. 25 If the perimeter of this rectangle is 20 inches, what is the length? 3 in. ?

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