Final answer:
The correct statement is EG¯¯¯¯¯ ≅ MN¯¯¯¯¯¯.
Step-by-step explanation:
To determine which statement is true, we need to identify the corresponding sides that are congruent between quadrilateral ACEG and quadrilateral NMRP.
Looking at the options, we can see that EG¯¯¯¯¯ is congruent to MN¯¯¯¯¯¯. Therefore, the correct statement is EG¯¯¯¯¯ ≅ MN¯¯¯¯¯¯.