Question

Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why ABC LMN?

Answer 1

More information about the diagram and angles and sides is needed to determine the congruence theorems or postulates that can be applied.

Step-by-step explanation:

In order to determine which congruence theorems or postulates can be used to prove that triangles ABC and LMN are congruent, we need more information about the diagram and the given angles and sides. Without that information, it is not possible to determine which congruence theorems or postulates can be applied.

Answer 2

D, E, and F

Step-by-step explanation:

D. SAS can be used, side-angle-side. The angle is the right angle in both and right angles always are congruent since they can only measure 90 degrees. The heights of both triangles are marked with the same number of slashes, so they are congruent; likewise, the bases are marked with the same number of slashes, so they are congruent. Since the angle is between the sides, or included, this is SAS.

E. HL can also be used since the hypotenuses of both triangles are marked with the same number of slashes, they are congruent. We already decided the legs of both were congruent to each other.

F. LL (which is also exactly the same as SAS) can also be used since we already decided that the legs in both triangles are congruent.