Question

based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why △hel≅△pme? check all that apply. a. hl b. asa c. sas d. ha e. ll f. aas

Explanation:

Step1: Identify right - angled triangles

Both $\triangle HEL$ and $\triangle PME$ are right - angled triangles as indicated by the right - angle symbols at $\angle H$ and $\angle P$.

Step2: Check congruence criteria

We see that one leg and the hypotenuse of one right - angled triangle are congruent to one leg and the hypotenuse of the other right - angled triangle. This satisfies the HL (Hypotenuse - Leg) congruence theorem. Also, we have a pair of non - right angles and a pair of hypotenuses congruent, which satisfies the HA (Hypotenuse - Angle) congruence theorem.

Answer:

A. HL
D. HA