Question

name the postulate, if possible, that makes the triangles congruent. given: am ≅ mb and everything that is marked congruent.

Explanation:

Step1: Analyze the given information

We have two right - angled triangles \( \triangle ADM\) and \( \triangle BCM\). Given \( AM = BM\) (one pair of legs), \( MD=MC\) (hypotenuse as they are marked equal).

Step2: Recall the HL (Hypotenuse - Leg) theorem

For right - angled triangles, if the hypotenuse and one leg of a right - angled triangle are equal to the hypotenuse and one leg of another right - angled triangle, then the two right - angled triangles are congruent.

Answer:

HL