Question

What else would need to be congruent to show that ABC XYZ by ASA?

Answer 1

Answer: The correct option is (D) AC ≅ XZ.

Step-by-step explanation: Given that in ΔABC and ΔXYZ, ∠X ≅ ∠A and ∠Z ≅ ∠C.

We are to select the correct condition that we will need to show that the triangles ABC and XYZ are congruent to each other by ASA rule..

ASA Congruence Theorem: Two triangles are said to be congruent if two angles and the side lying between them of one triangle are congruent to the corresponding two angles and the side between them of the second triangle.

In ΔABC, side between ∠A and ∠C is AC,

in ΔXYZ, side between ∠X and ∠Z is XZ.

Therefore, for the triangles to be congruent by ASA rule, we must have AC ≅ XZ.

Thus, (D) is the correct option.

Answer 2

Side XZ needs to be congruent to side AC. The answer is D.