Pre-Calculus Homework Solutions 93

Pre-Calculus Homework Solutions 93 - 19. 20. 21. 22. 23....

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19. n s 1, 5, 6, and 11, n s 3, 8, 10, and 12, n s 2, 4, 7, and 9 20. n UFS , n TDV , n ACB 21. We need to know that all the corresponding angles are congruent and that the other corresponding sides are congruent. 22. Use the figure and the Distance Formula to find the length of each side in the triangles. PQ 5 ¬ 2 P 9 Q 95 ¬ 2 QV 5 ¬ 4 Q 9 V ¬ 4 PV 5 ¬ Ï [ 2 2 2 w ( 2 4)] w 2 1 (4 w 2 8) 2 w 5 ¬ Ï 4 1 16 w or Ï 20 w P 9 V ¬ Ï (2 2 4 w ) 2 1 (4 w 2 8) 2 w 5 ¬ Ï 4 1 16 w or Ï 20 w The lengths of the corresponding sides of the two triangles are equal. Therefore, by the definition of congruence, P w Q w > P w 9 w Q w 9 w , Q w V w > Q w 9 w V w 9 w , and P w V w > P w 9 w V w 9 w . Use a protractor to confirm that the corresponding angles are congruent. Therefore, n PQV > n P 9 Q 9 V 9 . n P 9 Q 9 V 9 is a flip of n PQV . 23. Use the figure and the Distance Formula to find the length of each side in the triangles. MN 5 ¬ 8 M 9 N ¬ 8 NP 5 ¬ 2 N 9 P ¬ 2 MP 5 ¬ Ï [2 2 ( w 2 6)] 2 w 1 (2 2 w 4) 2 w 5 ¬ Ï 64 1 4 w or Ï 68 w M 9 P ¬ Ï [2 2 ( w 2 6)] 2 w
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