Question

Consider this diagram of quadrilateral \[ABCD\], which is not drawn to scale. A Quadrilateral A B C D. A line connects from points A and C. Another line connects points B and D, intersecting in the middle of the rectangle. Side A B and Side D C are congruent. Side A D and side B C are congruent. \[A\] \[B\] \[C\] \[D\] A Quadrilateral A B C D. A line connects from points A and C. Another line connects points B and D, intersecting in the middle of the rectangle. Side A B and Side D C are congruent. Side A D and side B C are congruent. Which two statements must be true based on the information indicated by the diagram?

Answer 1

The two true statements based on the diagram are: side AB is congruent to side DC, and side AD is congruent to side BC.

Based on the information indicated in the diagram, the two true statements are:

Side AB is congruent to side DC

Side AD is congruent to side BC

In this diagram of quadrilateral ABCD, the sides AB and DC are congruent, and the sides AD and BC are congruent. These congruencies are indicated by the information in the question. Therefore, the two statements mentioned above must be true.