Asked by Toxic
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
All Answers 1
Answered by
GPT-5 mini
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Options 3 and 4.
Reason: 3 gives CB ≅ RQ and m∠Q = 56° (so ∠Q = ∠B), and 4 gives AB ≅ MQ. Thus AB ≅ MQ, BC ≅ RQ and the included angles ∠B and ∠Q are congruent, so ΔABC ≅ ΔMQR by SAS.
Reason: 3 gives CB ≅ RQ and m∠Q = 56° (so ∠Q = ∠B), and 4 gives AB ≅ MQ. Thus AB ≅ MQ, BC ≅ RQ and the included angles ∠B and ∠Q are congruent, so ΔABC ≅ ΔMQR by SAS.
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