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Quiz Review Geometry Name _____________________________ 7.1-7.4 1. A ratio is a comparison of a number a and a nonzero number b using __________________ proportion 2. An equation that states that two ratios are equal is called a ______________ division scale factor proportional 3. Two polygons are similar if their corresponding angles are ______________ and their corresponding side lengths are _________ congruent ratio 4. If two polygons are similar, then the ratio of the lengths of two corresponding sides is called the ___________ ________________ Simplify the following. 5. 8 in : 24 in 6. 6 πππβππ 2 ππππ‘ 4 πππ¦π 7. 2 π€ππππ Use the number line to find the ratio of the distances. 8. AB : CF 9. BF : CD 10. DE: AC 11. BE: AD 12. The perimeter of a rectangle is 48 inches. The ratio of the width to the length is 3 : 5, as shown. Find the width and the length of the rectangle. Width: __________________ Length: _________________ 13. In the diagram, JK : KL is 3: 2 and JL = 35. Find JK and KL. 14. Multiple Choice: βABC ~ βDEF. Which statement is not correct? π΄π΅ π΅πΆ A) π·πΈ = πΈπΉ πΆπ΄ π΄π΅ B) πΉπ· = π·πΈ C) β A β β F Solve the proportions. 8 32 π¦ 1 π₯ 15. 3 = 18. 2 = 22 16. π₯+2 10 5 19. 3 = 4 2 17. 3 = =5 π₯+8 18 12 π₯β3 6 6 20. 5π₯β3 = 11 In # 21-23, βJKL ~ βEFG. 21. List all pairs of congruent angles. 22. Write the ratios of the corresponding sides in a statement of proportionality. 23. Find the scale factor of βJKL to βEFG. 24. Find the scale factor of βKLM to βQRS. 25. Find the scale factor of ABCD to WXYZ. Determine whether the polygons are similar. If they are similar, write a similarity statement and find the scale factor of figure B to figure A. 26. 27. The two polygons are similar. Find the value of x. (Hint: set up a proportion!) 28. 29. Determine whether the triangles are similar and explain why (AA~, SAS~, SSS~). If they are similar, write a similarity statement. 30. 31. Similar? ________ why? _______ βDCE ~ ________ Similar? ________ why? _______ βABD ~ ________ 32. 33. Similar? ________ why? _______ βPRQ ~ ________ Similar? ________ why? _______ βJKL ~ ________ 34. 35. Similar? ________ why? _______ βSRT ~ ________ Similar? ________ why? _______ βDEF ~ ________ 36. 37. Similar? ________ why? _______ βABC ~ _____ Similar? ________ why? _______ βJNK ~ ________ Use the diagram to complete the statement. 38. βABC ~ _________ π΄π΅ 39. π΄π· = π΅πΆ 40. The scale factor of βADE to βABC is _________ The following figures are similar to each other. Find the value of the variable. (Hint: set up a proportion) 41. 42. 43. 44. 45. DECB ~ KLMJ ___________ 46.