SOLUTION: given: vw is congruent to uw angle x is congruent to angle z prove: triangle xwv is congruent to triangle zwu

Question 529246: given: vw is congruent to uw
angle x is congruent to angle z
prove: triangle xwv is congruent to triangle zwu

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I don't think so.
Suppose v=u, so that you really know vw and uw are congruent.
Make vw (or uw, since it is the same segment) the diameter of a circle.
Make x and y any of the other infinity of points on that circle.
Angle x and angle z measure 90 degrees and are congruent no matter how you chose x and y, but you can make many different non-congruent triangles.
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