Table of Contents

## What are the properties of a parallelogram?

A parallelogram is a closed four-sided two-dimensional figure in which the opposite sides are parallel and equal in length. Also, the opposite angles are also equal. Learning the properties of a parallelogram is useful in finding the angles and sides of a parallelogram. The four most important properties of a parallelogram are:

## How do you know if a quadrilateral is a parallelogram?

If the opposite sides of a quadrilateral are equal, it is a parallelogram. The opposite angles of a parallelogram are equal. If the opposite angles of a quadrilateral are equal, it is a parallelogram. The diagonals of a parallelogram bisect each other.

**What is the opposite angle of a parallelogram?**

The opposite angle of a parallelogram is also equal. In short, a parallelogram can be considered as a twisted rectangle. It is more of a rectangle, but the angles at the vertices are not right-angles. What are the Examples of a Parallelogram?

**What do the diagonals of a parallelogram divide it into?**

From theorem 1, it is proved that the diagonals of a parallelogram divide it into two congruent triangles. When you measure the opposite sides of a parallelogram, it is observed that the opposite sides are equal. Hence, we conclude that the sides AB = DC and AD = BC.

### What do the opposite sides of a parallelogram have in common?

The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. In the figure above, ABCD is a parallelogram. Here, AB || CD and AD || BC.

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

The consecutive angles of a parallelogram are supplementary. If one angle of a parallelogram is right, then all angles are right. The diagonals of a parallelogram bisect each other and each one separates the parallelogram into two congruent triangles.

**What is the parallelogram law?**

This law states that the sum of the square of all the sides of a parallelogram is equal to the sum of the square of its diagonals. We know that in a parallelogram, the adjacent angles are supplementary. So Hence, the parallelogram law is proved. Here we have provided some parallelogram examples with solutions: