PROVING THEOREM 9.6 Prove the Reflection in Intersecting Lines Theorem. GIVEN c Lines k
Chapter 9, Problem 9.5.38(choose chapter or problem)
PROVING THEOREM 9.6 Prove the Reflection in Intersecting Lines Theorem. GIVEN c Lines k and m intersect at point P. Q is any point not on k or m. PROVE c a. If you reflect point Q in k, and then reflect its image Q9 in m, Q0 is the image of Q after a rotation about point P. b. m QPQ0 5 2(m APB) Plan for Proof First show k }QQ9 and }QA >}Q9A. Then show nQAP > nQ9AP. In the same way, show nQ9BP > nQ0BP. Use congruent triangles and substitution to show that }QP >}Q0P. That proves part (a) by the definition of a rotation. Then use congruent triangles to prove part (b). APB90
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