Question

which of the following describes the relationship between the given triangles? none of these △pnm≅△abc by the asa congruence theorem △pmn≅△bac by the asa congruence theorem △pnm≅△abc by the aas congruence theorem

Explanation:

Step1: Recall ASA and AAS

ASA (Angle - Side - Angle) requires two angles and the included side to be congruent. AAS (Angle - Angle - Side) requires two angles and a non - included side to be congruent.

Step2: Analyze given triangles

From the image, we don't have enough information about angle - side - angle or angle - angle - side congruence to claim $\triangle PNM\cong\triangle ABC$ or $\triangle PMN\cong\triangle BAC$ by ASA or AAS. So the answer is none of these.

Answer:

None of these