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?

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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(52798) About Me  (Show Source):
You can put this solution on YOUR website!
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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?
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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.