Question

in right triangle $delta jkl$, $mangle k = 44^{circ}$. in right triangle $delta pqr$, $mangle q = 44^{circ}$. which similarity postulate or theorem proves that $delta jkl$ and $delta pqr$ are similar? a. sas b. sss c. hl d. aa

Explanation:

We know that both triangles are right - triangles, so they each have a 90 - degree angle. Also, we are given that \(m\angle K = 44^{\circ}\) in \(\triangle JKL\) and \(m\angle Q=44^{\circ}\) in \(\triangle PQR\). 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. Here, one pair of right angles (90 - degrees) and one pair of 44 - degree angles are congruent.

Answer:

D. AA