911 views
1 vote
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

1 Answer

3 votes

Final answer:

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.

User Jared Brown
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories