Pre-Calculus Homework Solutions 144

# Pre-Calculus Homework Solutions 144 - 22. Given: PR PQ, SQ...

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22. Given: P w R w > P w Q w , SQ . SR Prove: m / 1 , m / 2 Proof: 23. Given: E w D w > D w F w ; m / 1 . m / 2; D is the midpoint of C w B w ; A w E w > A w F w . Prove: AC . AB Proof: 24. Given: R w S w ¬ > U w W w S w T w ¬ > W w V w RT ¬ . UV Prove: m / S . m / W Indirect Proof: Step 1 Assume m / S ± m / W . Step 2 If m / S ± m / W ,then either m / S , m / W or m / S 5 m / W . Case 1: If m / S , m / W ,then RT , UV by the SAS Inequality. Case 2: If m / S 5 m / W ,then n RST > n UWV by SAS, and R w T w > U w V w by CPCTC. Thus RT 5 UV . Step 3 Both cases contradict the given RT . UV . Therefore, the assumption must be false, and the conclusion, m / S . m / W ,must be true. 25. As the door is opened wider, the angle formed increases and the distance from the end of the door to the door frame increases. 26. By the SAS Inequality Theorem, if the tree started to lean, one of the angles of the triangle formed by the tree, the ground, and the stake would change, and the side opposite that angle
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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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