Question

Quadrilateral ACEG ≅ Quadrilateral NMRPWhich statement is true?

(The lines actually go above the letters)
AG¯¯¯¯¯≅ NP¯¯¯¯¯¯
CE¯¯¯¯¯ ≅ NP¯¯¯¯¯¯
AC¯¯¯¯¯ ≅ MR¯¯¯¯¯¯
EG¯¯¯¯¯ ≅ MN ¯¯¯¯¯¯

Answer 1

The statement that is true is AG¯¯¯¯¯≅ NP¯¯¯¯¯¯. To prove that quadrilateral ACEG is congruent to quadrilateral NMRP, we need to show that the corresponding sides and angles are congruent.

Step-by-step explanation:

The statement that is true is AG¯¯¯¯¯≅ NP¯¯¯¯¯¯. This means that segment AG is congruent to segment NP. Congruent segments have the same length.

To prove that quadrilateral ACEG is congruent to quadrilateral NMRP, we need to show that the corresponding sides and angles are congruent.

1. AG¯¯¯¯¯≅ NP¯¯¯¯¯¯: Given in the statement.
2. CE¯¯¯¯¯ ≅ MR¯¯¯¯¯¯: Corresponding sides EG and PR are congruent because they are opposite sides of the quadrilaterals.
3. AC¯¯¯¯¯ ≅ MR¯¯¯¯¯¯: Corresponding sides AC and MR are congruent because they are opposite sides of the quadrilaterals.
4. EG¯¯¯¯¯ ≅ MN¯¯¯¯¯¯: Corresponding sides EG and MN are congruent because they are opposite sides of the quadrilaterals.