Question

What else would need to be congruent to show that (△ PQR) is congruent to (△ STU) by ASA? Please help me. Thx! :))

A. (QR) and (TU)
B. (PQ) and (ST)
C. (PR) and (SU)
D. (Q) and (U)

Answer 1

To show that triangles PQR and STU are congruent by ASA, we need to show that side QR is congruent to side TU.

Step-by-step explanation:

In order to show that triangles PQR and STU are congruent by the ASA (Angle-Side-Angle) congruence criterion, we need to show that:

1. The two triangles have one pair of congruent angles, which is already given in the problem statement.

2. The corresponding sides that are included between the congruent angles are congruent as well.

So, to show that △PQR is congruent to △STU by ASA, we would need to show that side QR is congruent to side TU. In other words, the answer is (A) (QR) and (TU).