Question

which postulate or theorem proves that △ rmn and △ qpn are congruent? sas congruence postulate aas congruence theorem asa congruence postulate sss congruence postulate

Explanation:

From the diagram: ∠R = ∠Q (marked right angles), ∠R NM = ∠QNP (vertical angles), and RN = QN (marked congruent sides). This matches AAS (two angles and a non-included side congruent), so the AAS Congruence Theorem applies.

Answer:

AAS Congruence Theorem