Question

congruency of triangles quick check. if ∠x≅∠l, ∠p≅∠m, ∠a≅∠k, (overline{pa}congoverline{mk}), (overline{ax}congoverline{kl}), and (overline{xp}congoverline{lm}), which option below shows a correct congruence statement? (1 point). △pax≅△mkl. △xpa≅△klm. △xpa≅△mkl. △pax≅△klm

Explanation:

Step1: Match vertices by given congruences

Given $\angle X\cong\angle L$, $\angle P\cong\angle M$, $\angle A\cong\angle K$, $\overline{PA}\cong\overline{MK}$, $\overline{AX}\cong\overline{KL}$, $\overline{XP}\cong\overline{LM}$. The vertices must be named in corresponding order.

Step2: Identify correct congruence statement

The correct order of vertices for congruent triangles based on the given angle - side congruences is $\triangle PAX\cong\triangle MKL$.

Answer:

$\triangle PAX\cong\triangle MKL$