Question

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

Answer 1

We can conclude that △XYB is congruent to △ZYA (△XYB ≅ △ZYA) under the ASA congruency condition.

What do we mean by the congruency of triangles?

If the three sides and the three angles of both angles are equal in any orientation, two triangles are said to be congruent.

SSS, which stands for "side, side, side," denotes that there are two triangles with identical angles on all three sides.

"Side, Angle, Side" stands for two triangles whose two sides and one included angle are known to be equal.

So, we know that:

To prove: △XYB ≅ △ZYA

∠X = ∠Z (Given)

XY = ZY (Given)

∠Y = ∠Y (Common angle)

Hence, △XYB ≅ △ZYA is under ASA condition.

Therefore, we can conclude that △XYB is congruent to △ZYA (△XYB ≅ △ZYA) under the ASA congruency condition.

Know more about the congruency of triangles here:

https://brainly.com/question/29003974

#SPJ1

Correct question:

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

Given: ∠X ≅ ∠Z and (XY) ≅ (ZY)