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Pre-Calculus Homework Solutions 92

# Pre-Calculus Homework Solutions 92 - 6 The red triangles...

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y 3 2 1 6 3 3 y 1 9 3 3 or 3 1 0 3 The point of intersection is 1 6 3 , 3 1 0 3 . Then, use the Distance Formula to determine the distance between (0, 3) and 1 6 3 , 3 1 0 3 . d ¬ ( x 2 x 1 ) 2 ( y 2 y 1 ) 2 ¬ 1 6 3 0 2 3 1 0 3 3 2 ¬ 1 3 6 6 9 1 8 6 1 9 ¬ 1 1 1 6 7 9 or 1 1 3 17 The distance between the lines is 1 1 3 17 units. 56. 2 y 8 142 ¬ 180 linear pair 2 y 150 ¬ 180 2 y ¬ 30 y ¬ 15 4 x 6 ¬ 142 corresponding angles 4 x ¬ 136 x ¬ 34 z ¬ 4 x 6 alternate exterior angles z ¬ 4(34) 6 z ¬ 142 57. x 68 ¬ 180 supplementary consecutive interior angles x ¬ 112 4 y 68 ¬ 180 linear pair 4 y ¬ 112 y ¬ 28 5 z 2 ¬ x alternate interior angles 5 z 2 ¬ 112 5 z ¬ 110 z ¬ 22 58. 3 x ¬ 48 alternate interior angles x ¬ 16 y 42 48 ¬ 180 Angle Sum Theorem y 90 ¬ 180 y ¬ 90 z 42 alternate interior angles 59. reflexive 60. symmetric 61. symmetric 62. transitive 63. transitive 64. transitive Congruent Triangles Page 195 Check for Understanding 1. The sides and the angles of the triangle are not affected by a congruence transformation, so congruence is preserved.
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