1. The problem states that quadrilateral ACEG is congruent to quadrilateral MNPR.
2. Congruent quadrilaterals have corresponding sides that are equal in length.
3. The order of vertices in the congruence statement tells us which sides correspond: A corresponds to M, C to N, E to P, and G to R.
4. Therefore, side CE in ACEG corresponds to side NP in MNPR.
5. The correct statement is $CE \cong NP$.
6. The other options do not match corresponding sides based on the vertex order.
Final answer: $CE \cong NP$
Quadrilateral Correspondence 57E9F9
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.