Question 1010934
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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 <U>right-angled triangle with the right angle at the vertex Y</U> 

(which was not pointed in your condition).


In general case, your statement is wrong.


Please do not burden us with wrong statements.