Question

if ∠x ≅ ∠l, ∠p ≅ ∠m, ∠a ≅ ∠k, (overline{pa}congoverline{mk}), (overline{ax}congoverline{kl}), and (overline{xp}congoverline{lm}), which of the following is a correct congruence statement? (1 point)
△pax ≅ △mkl
△xpa ≅ △mkl
△xpa ≅ △klm
△pax ≅ △klm

Explanation:

Step1: Recall congruent - triangle naming rule

Corresponding angles and sides must match in the naming of congruent triangles. Given $\angle P\cong\angle M$, $\angle A\cong\angle K$, $\angle X\cong\angle L$ (by default as the remaining angles of the triangles), and $PA\cong MK$, $AX\cong KL$, $XP\cong LM$.

Step2: Match the vertices

The correct order of vertices for congruent - triangle naming should have corresponding vertices in the same order. So, $\triangle PAX\cong\triangle MKL$.

Answer:

A. $\triangle PAX\cong\triangle MKL$