How to Prove a Parallelogram?

There are five ways to prove that a quadrilateral is a parallelogram:
  1. Prove that both pairs of opposite sides are congruent.
  2. Prove that both pairs of opposite sides are parallel.
  3. Prove that one pair of opposite sides is both congruent and parallel.
  4. Prove that the diagonals of the quadrilateral bisect each other.

How do you prove ABCD is a parallelogram?

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If — AB ≅ — CD and — BC ≅ — DA , then ABCD is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

What are the 5 ways to prove a figure is a parallelogram?

1) If a quadrilateral has one pair of sides that are both parallel and congruent. 2) If all opposite sides of the quadrilateral are congruent. 3) Both pairs of opposite sides are parallel. 4) Opposite angles are congruent.

Robert Thorne

Robert Thorne

Automotive & Future Transportation Editor

Robert Thorne covers electric vehicle innovations, autonomous driving systems, global mobility trends, and automotive engineering developments.