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________________________ Geometry: Chapter 7 Test Review Per:________ Date:_____________ Short Answer 1. On a blueprint, the scale indicates that 8 cm represent 13 feet. What is the length of a room that is 9.6 cm long and 6 cm wide on the blueprint? 2. Figure . Name a pair of corresponding sides? Solve the proportion. 3. n6 n5 3 4 4. 5. 6. A model is built having a scale of 1 : 15,000. How high would a 20,800-ft mountain be in the model? Give your answer to the nearest tenth of an inch. 1 3 7. The length of a rectangle is 9 inches and the width is 2 inches. What is the ratio, using whole 2 4 numbers, of the length to the width? 8. Determine whether the figures are similar. 6.6 3 1.8 3 6.6 1.8 Not drawn to scale For problems 9 and 10: a) State the postulate or theorem that determines the triangles are similar. b) Then find the value of x. 9. 10. ) x 5 13 9 ) 24 > 8 2 Not drawn to scale > x Not drawn to scale Solve for x 11. 8.3 x 4.9 )) )) 17.7 Not drawn to scale 12. x 3 6 Not drawn to scale Find the geometric mean of the pair of numbers. 13. 80 and 5 15. 14. 2 and 9 Find the length of the altitude drawn. The triangle is not drawn to scale. 8 17 16. ABCD ~ WXYZ. AD = 12, DC = 6, and WZ = 33. Find YZ. The figures are not drawn to scale. X B W A Y C D Z 17. Given: . Find the length of . The diagram is not drawn to scale. A 9 P 27 B Q 12 C Determine whether the triangles are similar. If so, write a similarity statement and the postulate or theorem that justifies your answer. 18. Find the values of the missing variables. 20. 19. 21. 22. Michelle wanted to measure the height of her school’s flagpole. She placed the mirror on the ground 30 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 15 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot. (Hint: Draw a picture! Find a similar problem in the book if you need help with the diagram.)