Question

1. select the postulate or theorem that you can use to conclude that the triangles are similar.

sss similarity theorem
aa similarity postulate
asa similarity postulate
sas similarity theorem

Explanation:

Step1: Identify right - angled triangles

Both $\triangle JKL$ and $\triangle NPM$ are right - angled triangles. One angle in each triangle is $90^{\circ}$.

Step2: Check for another equal angle

If we assume that the non - right angles are equal (since no side lengths are given, we can only rely on angle information). In similar triangles, if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. The AA (Angle - Angle) similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Answer:

AA Similarity Postulate