Question

Parallelogram ABCD is a rectangle. Which statements are true? Select each correct answer.

1) AC = AB
2) AC = BD
3) AB ⊥ BC
4) AD ⊥ BC
5) Side AB and side CD are parallel
6) Side AD and side BC are parallel
7) Diagonal BD and diagonal AC intersect each other at a point labeled as X

Answer 1

A parallelogram ABCD is a rectangle if and only if AC = AB, AB ⊥ BC, and side AB and side CD are parallel.

Step-by-step explanation:

A parallelogram ABCD is a rectangle if and only if it has the following properties:

1. AC = AB
2. AB ⊥ BC
3. Side AB and side CD are parallel

Therefore, in this case, statements 1), 3), and 5) are true.