Question

which postulate or theorem proves that these two triangles are congruent? ○ sas congruence postulate ○ asa congruence postulate ○ aas congruence theorem ○ hl congruence theorem

Explanation:

The diagram shows two triangles (△WXZ and △WYZ) sharing side WZ. Angles at X and Y are marked equal, angles at W are split by WZ (implying equal angles if WZ is an angle bisector, though visually the angles at W are adjacent to the shared side), and side WZ is common. This matches ASA: two angles and the included side are congruent. SAS requires two sides and included angle, AAS is two angles and non-included side, HL is for right triangles (not indicated here). Thus ASA is correct.

Answer:

ASA Congruence Postulate