Question

Which sequence could be used to prove that AD = BC?

A) First prove AABC is congruent to ACDA, and then state AD and BC are corresponding sides of the triangles.
B) First prove AABC is similar to ACDA, and then state AD and BC are opposite sides of the parallelograms.
C) First prove ABCD is congruent to DCDAB, and then state AD and BC are corresponding sides of two parallelograms.
D) First prove ABCD is similar to CCDAB, and then state AD and BC are opposite sides of the parallelograms.

Answer 1

The correct sequence to prove that AD = BC is to first prove ABC congruent to ACDA and then state that AD and BC are corresponding sides of the triangles.

Step-by-step explanation:

The correct sequence that could be used to prove that AD = BC is option A) First prove ABC is congruent to ACDA, and then state AD and BC are corresponding sides of the triangles.

In this option, we prove that triangle ABC is congruent to triangle ACDA. This allows us to conclude that AD and BC are corresponding sides of the triangles, meaning they are equal in length.