Question

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

Explanation:

1. SAS (Side - Angle - Side): There are two pairs of congruent sides and the included angle between them is a right - angle in both triangles, so SAS can be used.
2. LL (Leg - Leg): In right - triangles, the two legs of one right - triangle are congruent to the two legs of the other right - triangle.
3. HL (Hypotenuse - Leg): The hypotenuse and one leg of one right - triangle are congruent to the hypotenuse and one leg of the other right - triangle.

Answer:

A. SAS
E. LL
F. HL