What additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent? What congruency theorem would be applied?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.4: The Trapezoid
Problem 3E: What type of trapezoid a has congruent diagonals. b has congruent base angles.
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What additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent? What congruency theorem would be applied? 

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