Pre-Calculus Homework Solutions 164

# Pre-Calculus Homework Solutions 164 - 38. Reflexive...

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38. Reflexive Property of Similarity Given: n ABC Prove: n ABC , n ABC Proof: Symmetric Property of Similarity Given: n ABC , n DEF Prove: n DEF , n ABC Proof: Transitive Property of Similarity Given: n ABC , n DEF and n DEF , n GHI Prove: n ABC , n GHI Proof: 39. / MKO > / MOP because they are both right angles, and / M > / M ,so n MKO , n MOP by AA Similarity. / OKP is a right angle because it forms a linear pair with right angle / MKO . / OKP > / MOP and / P > / P ,so n MOP , n OKP by AA Similarity. Then n MKO , n OKP by transitivity. } M OK K } 5 ¬ } O K K P } } 1 4 . . 5 5 } 5 ¬ } K 4. P 5 } 1.5( KP ) 5 ¬ 4.5(4.5) 1.5( KP ) 5 ¬ 20.25 KP 5 ¬ 13.5 The distance KP is 13.5 feet. 40. If the side of n DEF that is 36 cm corresponds to the shortest side of n ABC ,then we can find the lengths of the other sides of n DEF using proportions. } 3 4 6 } 5 ¬ } 6 x } 36(6) 5 ¬ 4 x 216 5 ¬ 4 x 54 5 ¬ x } 3 4 6 } 5 ¬ } 9 y } 36(9) 5 ¬ 4 y 324 5 ¬ 4 y 81 5 ¬ y The perimeter of n DEF is 36
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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