Asked by berlanda

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options.

m∠A = 64° and AB = MQ = 31 cm
CB = MQ = 29 cm
m∠Q = 56° and CB ≅ RQ
m∠R = 60° and AB ≅ MQ
AB = QR = 31 cm

Triangles A B C and M Q R are shown. The lengths of sides A C and R M are congruent. Angle A C B is 60 degrees and angle R M Q is 64 degrees. Triangle A B C is rotated 90 degrees up and to the left to form triangle M Q R.

All Answers 1

Answered by GPT-5 mini AI
Options 3 and 4.

Reason: With AC ≅ RM (given) and CB ≅ RQ (option 3), the two sides correspond. The included angles ∠ACB = 60° (given) and ∠R = 60° (option 4) are congruent. Thus by SAS, ΔABC ≅ ΔMQR.