1. The problem states that quadrilateral ACEG is congruent to quadrilateral PRMN, meaning all corresponding sides and angles are equal.
2. In congruent quadrilaterals, the order of vertices indicates which sides correspond. So, side AC corresponds to side PR, CE corresponds to RN, EG corresponds to MN, and AG corresponds to PM.
3. Let's match each pair:
- AC corresponds to PR
- CE corresponds to RN
- EG corresponds to MN
- AG corresponds to PM
4. Now, check the options:
- CE ≅ NP: NP is not a side of PRMN; the correct corresponding side to CE is RN, so this is false.
- EG ≅ MN: EG corresponds to MN, so this is true.
- AG ≅ MP: AG corresponds to PM, not MP, so this is false.
- AC ≅ MR: AC corresponds to PR, not MR, so this is false.
5. Therefore, the true statement is **EG ≅ MN**.
Quadrilateral Congruence 3D11F4
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