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Final Exam Review: Geometry Concepts and Solutions

Prepare for your geometry exam with our comprehensive review guide. This document includes a variety of geometry problems ranging from finding the geometric mean and solving for unknown variables, to calculating the height of slides, classifying triangles, and determining the area of shapes. With step-by-step solutions provided, you'll build a solid understanding of key concepts such as chord lengths in circles, apothem area in decagons, and properties of similar figures. Enhance your skills and confidence before your final exam!

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Final Exam Review: Geometry Concepts and Solutions

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  1. Final Exam Review Answers on last slide

  2. What is the geometric mean of 15 and 8?

  3. 2. Solve for x.

  4. 3. If cosP = 0.5, find mP. A. 30oB. 1o C. 60o D. 43o

  5. 4. A 40-foot slide makes a 65o angle with the ground. How high off the ground is the top of the slide? A. 36.3ftB. 16.9 ft C. 44.1 ft D. 85.8 ft

  6. 5. Let 9, 5, and 10 represent the side lengths of a triangle. Classify the triangle. A. Obtuse B. Acute C. Right D. Not a triangle

  7. 6. In a circle, a chord is 5 cm from the center of the circle. If the radius is 13 cm, how long is the chord?

  8. 7. Solve for y. A. 46 B. C. 20 D. 5

  9. 8. Solve for x and y. A. x = 95o B. x = 100o C. x = 80o D. x = 85o y = 80oy = 85oy = 95oy = 100o

  10. 9. Solve for x. (Hint – Geometric mean) A

  11. 10. Solve for x. A. 275 B. 5 C. 95 D. 120

  12. 11. A regular decagon has an apothem of 5 in. Find its area. A. 81.2 in2 B. 40.6 in2 C. 162.5 in2 D. 181.6 in2

  13. 12. Solve for x. A. 46o B. 67o C. 22o D. 23o

  14. 13. Solve for x. C. 15 D. 6

  15. 14. Find the area of the shaded region. 75π B. 100 - 25π C. 25π – 100 D. 25 - 25π

  16. 15. Two similar figures have areas of 25 ft2 and 36 ft2. If the smaller one has a perimeter of 7.5 ft, what is the perimeter of the larger one? A. 9 ft B. 10.8 ft C. 6.25 ft D. 15.552 ft

  17. 16. Solve for x. A. 5 B. C. 3 D. 4

  18. 17. Find the perimeter of the trapezoid. 39 + 7 30 + 7 39 + 7 39 + 21

  19. Which equation would you use to solve for x?

  20. ANSWER KEY B 2. A 3. C 4. A 5. B 6. B 7. D 8. C 9. A 10. C 11. A 12. D 13. D 14. B 15. A 16. A 17. C 18. B

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