Need help please What additional information would be necessary to prove that the two triangles, XBY and ZAY, are
congruent?

Congruent triangles have congruent corresponding sides.

(Note): This is not the correct answer..This is an Example. :)

Step-by-step explanation: part a) draw two triangles, translating one of them to the right.

part b) Consider triangles ΔYXB and ΔYZA. In these triangles:

∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);

∠YXB≅∠YZA (given);

XY≅ZY (given).

Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.

ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

Hope This Was helpful..

include a picture of the drawing in order for me to

step-by-step explanation: