Question

name the postulate, if possible, that makes the triangles congruent.

Explanation:

Step1: Recall congruence postulates

• SSS (Side - Side - Side): All three sides of one triangle are equal to the corresponding sides of another triangle.
• HL (Hypotenuse - Leg): For right - angled triangles, if the hypotenuse and one leg of a right - triangle are equal to the hypotenuse and one leg of another right - triangle.
• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
• SSA (Side - Side - Angle) is not a valid congruence postulate in general (except for the HL case in right - triangles).

Step2: Analyze the given triangles

The given triangles are right - angled. We can observe that the hypotenuse and one leg of each right - triangle are marked as equal.

Answer:

HL