# What are the six properties of a parallelogram?

## What are the six properties of a parallelogram?

Well, we must show one of the six basic properties of parallelograms to be true!

• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Diagonals bisect each other.
• One angle is supplementary to both consecutive angles (same-side interior)

What are 3 of 8 properties of a parallelogram?

Properties of Parallelogram The opposite sides are parallel and congruent. The opposite angles are congruent. The consecutive angles are supplementary. If any one of the angles is a right angle, then all the other angles will be at right angle.

### What is the property of diagonals of parallelogram?

The diagonals bisect each other. One pair of opposite sides is parallel and equal in length. Adjacent angles are supplementary. Each diagonal divides the quadrilateral into two congruent triangles.

What are the 7 properties of a parallelogram?

The 7 properties of a parallelogram are as follows: The opposite sides of a parallelogram are equal. The opposite angles of a parallelogram are equal. The consecutive angle of a parallelogram is supplementary.

#### Are there consecutive angles of a parallelogram supplementary?

Opposite sides are congruent (AB = DC). Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right.

How to prove the opposite sides are equal in a parallelogram?

To Prove: The opposite sides are equal, AB=CD, and BC=AD. Proof: In parallelogram ABCB, compare triangles ABC and CDA. In these triangles AC = CA (common sides). Also ∠BAC =∠DCA (alternate interior angles), and ∠BCA = ∠DAC (alternate interior angles).

## Which is the theorem of the parallelogram pqtr?

Theorem 3: Diagonals of a Parallelogram Bisect Each Other. That means, in a parallelogram, the diagonals bisect each other. Given: PQTR is a parallelogram. PT and QR are the diagonals of the parallelogram. To Prove: The diagonals PT, and RQ bisect each other.