Question: top-left: Question 24 text about a coordinate plane and triangles $JKL$ and $MNP$. It shows the statements “$\angle K \cong \angle N$, and $\angle L \cong \angle P$” and “$KL \cong NP$,” followed by multiple-choice options A, B, C, and D about triangle congruence; the problem and answer choices are positioned in the left and lower-left area of the page.
1. **Problem Statement:** Given triangles $JKL$ and $MNP$ on a coordinate plane, with the information that $\angle K \cong \angle N$, $\angle L \cong \angle P$, and side $KL \cong NP$, determine which congruence statement about the triangles is correct.
2. **Relevant Concept:** To prove triangle congruence, common criteria include SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), SSS (Side-Side-Side), and HL (Hypotenuse-Leg for right triangles).
3. **Analyze Given Information:** We have two pairs of congruent angles: $\angle K \cong \angle N$ and $\angle L \cong \angle P$, and one pair of congruent sides: $KL \cong NP$.
4. **Identify the Congruence Criterion:** The side $KL$ is between angles $K$ and $L$ in triangle $JKL$, and side $NP$ is between angles $N$ and $P$ in triangle $MNP$. Since two angles and the included side are congruent, this matches the ASA (Angle-Side-Angle) criterion.
5. **Conclusion:** Triangles $JKL$ and $MNP$ are congruent by ASA.
**Final answer:** Triangles $JKL \cong MNP$ by ASA congruence criterion.