Question

Quadrilateral ACEG ≅ Quadrilateral NMRP

Answer 1

Answer: $\overline{AG}\cong\overline{NP}$

Step-by-step explanation:

Given: Quadrilateral ACEG ≅ Quadrilateral NMRP

We know that the corresponding sides of two congruent figures are congruent.

thus, if Quadrilateral ACEG ≅ Quadrilateral NMRP, then corresponding sides of Quadrilateral ACEG is congruent to Quadrilateral NMRP.

Now, consider the order of letters to write the corresponding sides.

$\overline{AC}=\overline{NM}$

$\overline{CE}=\overline{MR}$

$\overline{EG}=\overline{RP}$

$\overline{AG}=\overline{NP}$

Hence, from the given options the right option is $\overline{AG}\cong\overline{NP}$

Answer 2

You line the segments up in order from the first quad to the second.
The only one that lines up is AG and NP the first option.