Question

What else would need to be congruent to show that AABC= AXYZ by ASA?

Answer 1

Answer:

• option D. ∠Y ≅ ∠B.

Explanation:

Please, find attached the figure needed to answer this question.

ASA is the Angle-Side-Angle congruency rule. It states that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle, then, the two triangles are congruent.

In the figure it is given that the angle Z is congruent to the angle C, and the side CB is congruent to the side ZY.

Then, you need that the other angles B and Y be congruent too.

Thus, the answer is the option D. ∠Y ≅ ∠B.

In this way, you have two angles and the included side of one triangle are congruent to two angles and the included side of the other triangle.

• ∠Z ≅ ∠C
• ∠ Y ≅ ∠C
• segment CB ≅ ZY