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Pre-Calculus Homework Solutions 184

Pre-Calculus Homework Solutions 184 - 39 Stage 2 is not...

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34. Since BE CD , ABE ACD and AEB ADC by the corresponding angles postulate. Then ABE ACD by the AA Similarity. Using the definition of similar polygons, A A B C C B D E . Substitute the known measures. 33 33 BC 3 2 2 4 24(33 BC ) 33(32) 792 24( BC ) 1056 24( BC ) 264 BC 11 35. Let x represent the perimeter of DEF . The perimeter of ABC 7 6 3 or 16. C FE B 6 9 1 x 6 6 x 144 x 24 The perimeter of DEF is 24 units. 36. Let x represent the perimeter of QRS . The perimeter of QTP 15 16 11 or 42. R TQ Q ¬ 1 5 5 ¬ 4 x 2 15 x ¬ 210 x ¬ 14 The perimeter of QRS is 14 units. 37. Let x represent the perimeter of CPD. CPD BPA and D A , so CPD BPA by AA Similarity. Similar triangles have corresponding medians proportional to the corresponding sides, so the corresponding medians are also proportional to the perimeters. B C M N 3 1 1 3 3 1 x 2 x 13 36 13 x 36 38. Use the Pythagorean Theorem in PQM to find PM . ( PM ) 2 ( QM ) 2 ( PQ ) 2 ( PM ) 2 12 2 13 2 ( PM ) 2 169 144 ( PM ) 2 25 PM 5 Since PQM PRQ , P P Q R P P M Q P 1 R 3 1 5 3 5( PR ) 13(13) 5( PR ) 169 PR 33.8 P P M Q ¬ Q R M Q 1 5 3 ¬ R 1 Q 2 5( RQ ) ¬ 13(12) 5( RQ ) ¬ 156 RQ ¬ 31.2 The perimeter of PQR 13 33.8 31.2 or 78. 39. Stage 2 is not similar to Stage 1. 40. 41. 42. 43. Chapter 6 Practice Test Page 337 1. b 2. a 3. c 4. 1 x 4 1 2 2 x 14 x 7 5. 4 3 x 10
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