Question

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

A) Side-Angle-Side (SAS)
B) Angle-Side-Angle (ASA)
C) Side-Side-Side (SSS)
D) Not Enough Information

Answer 1

In order to prove that the triangles RXBY and RZAY are congruent, we would need additional information. The congruency theorem that would be applied is the Side-Angle-Side (SAS). Without the additional information, there is not enough information to prove the congruence.

Step-by-step explanation:

In order to prove that the triangles RXBY and RZAY are congruent, we would need additional information.

Specifically, we would need to know the length of at least one side and the measure of at least one angle in each triangle.

The congruency theorem that would be applied to prove the triangles congruent is the Side-Angle-Side (SAS) congruency theorem.

This theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Therefore, without the additional information about the lengths of the sides and the measures of the angles, there is not enough information to prove that the triangles RXBY and RZAY are congruent.