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Geometry Proof1 Attachment(s) Given Triangle AXB and Triangle AYB are isosceles and share base AB, show that points X,Y, and Z are collinear if and only if Triangle AZB is isosceles with base AB. Attached is the figure. Any help or incite is greatly appreciated. Thanks! |

Re: Geometry ProofLet C be the midpoint of AB. Draw a line from C to X. Can you show that Y and X both lie on this line? From, there what would triangle AZB need to look like for Z to be on that line? |

Re: Geometry ProofYes, just check out that the line XY has to be the perpendicular bisector of AB, then any point on it (Z on XY) would meet the condition AZ = BZ |

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