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Answer:

D. AG ≅ NP

Step-by-step explanation:

Given that quadrilateral ACEG is congruent to quadrilateral NMRP, this means that all the corresponding sides of both quadrilaterals are congruent to each other.

Considering the arrangement of the letters we can reduce the following:

AC corresponds to NM, therefore AC ≅ NM.

CE corresponds to MR, therefore, CE ≅ MR.

AG corresponds to NP, therefore AG ≅ NP.

EG corresponds to RP, therefore, EG ≅ RP.

The only statement that is true among the options given is:

AG ≅ NP