10th grade geometry pls hep!

what additional information could be used to prove δabc ≅ δmqr using sas? check all that apply.

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

m∠A = 64° and AB = MQ = 31 cm

m∠Q = 56° and CB ≅ RQ

Step-by-step explanation:

SAS postulate of congruence says that if two sides and the included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the triangles are congruent.

Then in ΔABC and ΔMQR

AB ≅ MQ =31 cm

∠ A ≅ ∠ M= 64°

AC ≅  RM [given in picture]

⇒ Δ ABC ≅ Δ MQR  [by SAS postulate]

Then we don't have enough information to prove triangles congruent by SAS postulate.

Then, by angle sum property m∠R = 60°

⇒ ∠C ≅ ∠R

AC ≅  RM [given in picture]

⇒ Δ ABC ≅ Δ MQR  [by SAS postulate]

⇒∠C ≅ ∠R

Then we don't have enough information to prove triangles congruent by SAS postulate.

Then we don't have enough information to prove triangles congruent by SAS postulate.

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