Chapter 7 Practice Test
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1 hapter 7 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. If then 3a =. a. 3b b. 10b c. 5b d. 6b 2. If, which equation must be true? 3. If, then =. Solve the proportion. 4. a. 54 b. 81 c. 9 d a b. 5 c. 1 d a. 3 b. c. d Figure. Name a pair of corresponding sides? 9. Determine whether the figures are similar.
2 a. similar b. not similar c. not enough information Not drawn to scale re the polygons similar? If they are, write a similarity statement and give the similarity ratio. 10. In RST, RS = 10, RT = 15, and m R = 32. In UVW, UV = 12, UW = 18, and m U = 32. a. c. b. d. The triangles are not similar. 11. In QRS, QR = 4, RS = 15, and m R = 36. In UVT, VT = 8, TU = 32, and m T = 36. a. c. b. d. The triangles are not similar. 12. D ~ WXYZ. D = 6, D = 3, and WZ = 59. Find YZ. The figures are not drawn to scale. X W Y D Z a. 118 b c d. 177 The polygons are similar, but not necessarily drawn to scale. Find the values of and y. 13. a. =, y = c. = 9, y =
3 b. =, y = 27 d. = 9, y = Triangles and DEF are similar. Find the lengths of and EF. D 5 5 E F 4 a. = 2 EF = 10 c. = 20 EF = 4 b. = 10 EF = 2 d. = 4 EF = Write a similarity statement for the triangles. D 53 G E F H a. c. b. d. 16. re the triangles similar? If so, eplain why a. yes, by SS b. yes, by SSS c. yes, by d. no 17. What is the measure of? R 47 U 63 Q S T V a. 70 b. 110 c. 250 d. 35
4 State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. 18. In QRS, QR = 16, RS = 64, and m R = 29. In UVT, VT = 8, TU = 32, and m T = 29. a. S c. S b. SS d. The triangles are not similar. 19. O 12 M N a. SSS c. b. SS d. The triangles are not similar. 20. a. SS c. SSS b. SS d. The triangles are not similar. Eplain why the triangles are similar. Then find the value of a. Not drawn to scale SSS Postulate c. SS Postulate b. Postulate d. Postulate Use the information in the diagram to determine the height of the tree to the nearest foot.
5 a. 80 ft b. 264 ft c. 60 ft d. 72 ft Find the geometric mean of the pair of numbers and 7 a. 55 b. 45 c. 35 d and 6 a. 30 b. 6 c. 35 d. 30 Solve for a and b a b a. c. b. d a b a. c. b. d. 27. Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale.
6 7 21 a. 28 b. 7 3 c. 147 d Use the Side-Splitter Theorem to find, given that. P 8 12 Q 18 a. 12 b. 6 c. 20 d Given:. Find the length of. The diagram is not drawn to scale. P 6 Q a. 11 b. 12 c. 18 d Given, solve for.the diagram is not drawn to scale. 11 E 5 D Find the value of, given that.
7 O 9 N Q P M a. = 10 c. = 13 b. = 20 d. = 25.5 Solve for > + 1 > a. 5 b. 2.5 c. 7.5 d Not drawn to scale a. 11 b. 24 c. 2 6 d bisects, LM = 18, NO = 4, and LN = 10. Find OM. N O L M a. 7.2 b. 45 c d Find to the nearest tenth.
8 Not drawn to scale a. 4.8 b c. 9.4 d. 1.7 Short nswer 37.. omplete the statements. E G F H D J a. b. GH DJ Essay 38. Write a proof. Given: Prove: D E
9 hapter 7 Practice Test nswer Section MULTIPLE HOIE 1. NS: REF: 7-1 Ratios and Proportions TOP: 7-1 Eample 2 2. NS: REF: 7-1 Ratios and Proportions TOP: 7-1 Eample 2 3. NS: REF: 7-1 Ratios and Proportions TOP: 7-1 Eample 2 4. NS: REF: 7-1 Ratios and Proportions TOP: 7-1 Eample 3 5. NS: D REF: 7-1 Ratios and Proportions TOP: 7-1 Eample 3 6. NS: REF: 7-1 Ratios and Proportions TOP: 7-1 Eample 3 7. NS: D REF: 7-1 Ratios and Proportions TOP: 7-1 Eample 3 8. NS: D REF: 7-2 Similar Polygons TOP: 7-2 Eample 1 9. NS: REF: 7-2 Similar Polygons TOP: 7-2 Eample NS: REF: 7-2 Similar Polygons TOP: 7-2 Eample NS: D REF: 7-2 Similar Polygons TOP: 7-2 Eample NS: REF: 7-2 Similar Polygons TOP: 7-2 Eample NS: D REF: 7-2 Similar Polygons TOP: 7-2 Eample NS: REF: 7-2 Similar Polygons TOP: 7-2 Eample NS: REF: 7-3 Proving Triangles Similar TOP: 7-3 Eample NS: REF: 7-3 Proving Triangles Similar TOP: 7-3 Eample NS: REF: 7-3 Proving Triangles Similar TOP: 7-3 Eample NS: REF: 7-3 Proving Triangles Similar TOP: 7-3 Eample NS: REF: 7-3 Proving Triangles Similar TOP: 7-3 Eample NS: REF: 7-3 Proving Triangles Similar TOP: 7-3 Eample NS: D REF: 7-3 Proving Triangles Similar TOP: 7-3 Eample 3
10 22. NS: REF: 7-3 Proving Triangles Similar TOP: 7-3 Eample NS: REF: 7-4 Similarity in Right Triangles TOP: 7-4 Eample NS: D REF: 7-4 Similarity in Right Triangles TOP: 7-4 Eample NS: REF: 7-4 Similarity in Right Triangles TOP: 7-4 Eample NS: REF: 7-4 Similarity in Right Triangles TOP: 7-4 Eample NS: REF: 7-4 Similarity in Right Triangles TOP: 7-4 Eample NS: REF: 7-5 Proportions in Triangles TOP: 7-5 Eample NS: D REF: 7-5 Proportions in Triangles TOP: 7-5 Eample NS: REF: 7-5 Proportions in Triangles TOP: 7-5 Eample NS: REF: 7-5 Proportions in Triangles TOP: 7-5 Eample NS: REF: 7-5 Proportions in Triangles TOP: 7-5 Eample NS: D REF: 7-4 Similarity in Right Triangles TOP: 7-4 Eample NS: REF: 7-4 Similarity in Right Triangles TOP: 7-4 Eample NS: REF: 7-5 Proportions in Triangles TOP: 7-5 Eample NS: REF: 7-5 Proportions in Triangles TOP: 7-5 Eample 3 SHORT NSWER 37. NS: D REF: 7-2 Similar Polygons TOP: 7-2 Eample 1 ESSY 38. NS: [4] nswers may vary. Sample: 1. Given 2. Prop. of Proportions 3. Vertical are. 4. SS Theorem REF: 7-3 Proving Triangles Similar
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