Pre-Calculus Homework Solutions 98

Pre-Calculus Homework Solutions 98 - 27. Given: TS SF FH HT...

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27. Given: T w S w > S w F w > F w H w > H w T w / TSF , / SFH , / FHT , and / HTS are right angles. Prove: / SHT > / SHF Proof: 28. Given: D w E w > F w B w , A w E w > F w C w , A w E w ' D w B w , C w F w ' D w B w Prove: n ABD > n CDB Plan: First use SAS to show that n ADE > n CBF . Next use CPCTC and Reflexive Property for segments to show n ABD > n CDB . Proof: 29. Sample answer: The properties of congruent triangles help land surveyors double check measurements. Answers should include the following. • If each pair of corresponding angles and sides are congruent, the triangles are congruent by definition. If two pairs of corresponding sides and the included angle are congruent, the triangles are congruent by SAS. If each pair of corresponding sides are congruent, the triangles are congruent by SSS. • Sample answer: Architects also use congruent triangles when designing buildings. 30. C; using vertical angles and exterior angles, a 1 b 5 90. Given this fact, it is impossible for the other statements to be true.
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