Question

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

Explanation:

Step1: Identify right - angled triangles

The given triangles $\triangle HIJ$ and $\triangle KLM$ are right - angled triangles as indicated by the right - angle symbols at $\angle H$ and $\angle K$.

Step2: Analyze congruence postulates

We see that one acute angle and the hypotenuse of one right - angled triangle are congruent to one acute angle and the hypotenuse of the other right - angled triangle. The HA (Hypotenuse - Angle) congruence postulate states that if the hypotenuse and an acute angle of a right - triangle are congruent to the hypotenuse and an acute angle of another right - triangle, then the two right - triangles are congruent. Also, we have one leg and an acute angle congruent in the two right - angled triangles, which satisfies the LA (Leg - Angle) congruence postulate for right - angled triangles.

Answer:

C. LA
F. HA