Question

If triangles ABC and PQR satisfy A.S.A. congruence criteria, which of the following can be true?

• A. ∠ACB = ∠PRQ
• B. BC = QR
• C. ∠ABC = ∠PQR
• D. ∠BAC= ∠QRP

Answer 1

Answer: (A), (B), (C)

The correct options are
A ∠ACB = ∠PRQ
B BC = QR
C ∠ABC = ∠PQR


If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are ASA congruent. Here since ASA criteria are satisfied, then
$\angle ABC=\angle PQR$
$\angle ACB=\angle PRQ$
BC = QR