2. Consider the converse statement "If Pis a point such that PA = PB, then Pis on the perpendicular bisector of segment AB." a. Provide a counterexample in taxicab geometry. (Note: In taxicab geometry, PA = PB means dr(P, A) = dr(P,B).) Illustrate your counterexample on grid paper and explain how it is a counterexample.
2. Consider the converse statement "If Pis a point such that PA = PB, then Pis on the perpendicular bisector of segment AB." a. Provide a counterexample in taxicab geometry. (Note: In taxicab geometry, PA = PB means dr(P, A) = dr(P,B).) Illustrate your counterexample on grid paper and explain how it is a counterexample.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 25E: Given: RV bisects SRT, RS=x6,SV=3, RT=2x, and VT=x+2 Find: x HINT: You will need to apply the...
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