document.write( "Question 529246: given: vw is congruent to uw
\n" ); document.write( " angle x is congruent to angle z
\n" ); document.write( "prove: triangle xwv is congruent to triangle zwu\r
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Algebra.Com's Answer #349530 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
I don't think so.
\n" ); document.write( "Suppose v=u, so that you really know vw and uw are congruent.
\n" ); document.write( "Make vw (or uw, since it is the same segment) the diameter of a circle.
\n" ); document.write( "Make x and y any of the other infinity of points on that circle.
\n" ); document.write( "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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