SOLUTION: if you are given that triangle XYZ is isosceles , A is the midpoint of XZ . XY is congruent to YZ . How would you prove that triangle YAZ is isosceles?

Algebra.Com
Question 1010934: if you are given that triangle XYZ is isosceles , A is the midpoint of XZ . XY is congruent to YZ . How would you prove that triangle YAZ is isosceles?
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.
if you are given that triangle XYZ is isosceles, A is the midpoint of XZ, XY is congruent to YZ .
How would you prove that triangle YAZ is isosceles?
--------------------------------------------------------------

Your statement is wrong.

The triangle YAZ is isosceles only in one case: when the original triangle is
isosceles right-angled triangle with the right angle at the vertex Y
(which was not pointed in your condition).

In general case, your statement is wrong.

Please do not burden us with wrong statements.





RELATED QUESTIONS

The sides of triangle XYZ are XY = XZ = 25 and YZ = 40. A semicircle is inscribed in... (answered by ikleyn,greenestamps)
What can you conclude about XY and YZ if you are told Y is the midpoint of __ (answered by Fombitz)
PROOF Prove Line XY is congruent to Line ZY Statements 1.Line YZ is perpendicular... (answered by MathLover1)
CPCTC Given: UZ is congruent to YZ. VZ is congruent to XZ Prove: XY is congruent to... (answered by tommyt3rd)
How do you find out if two triangles are similar? I know that the triangles' angles must... (answered by solver91311)
Given: ΔXYZ XY = 28 cm; XZ = 30 cm; YZ = 32 AB is a midsegment parallel to XY (answered by ikleyn)
triangle xyz is an isosceles triangle with xy=yz. if xy=2x-5, yz=3x-9, and xz=x-3, find... (answered by nihar*2013)
The midpoint of xy is z, if xy=3n and xz=n+15, what is... (answered by ankor@dixie-net.com)