Question

Need help please

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

Answer 1

You could use the ASA theorem to prove that the congruent angles and side are congruent. Or you could use CPCTC which is Corresponding parts of congruent triangles are congruent. By using these two theorems you could prove that these triangles are congruent and not similar.

Explanation:

Answer 2

Answer: 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..