The Properties of Parallelograms

A parallelogram is a four-sided polygon with two pairs of parallel sides. The properties of parallelograms are essential to know in geometry, and we'll go over some of the most important ones below. 

There are a few different properties of parallelograms that you should know. They are as follows: 

The opposite sides of a parallelogram are equal in length. 

The opposite angles of a parallelogram are equal in measure. 

Parallelograms have diagonals that bisect each other. 

The consecutive angles of a parallelogram form a linear pair. 

The consecutive sides of a parallelogram are supplementary. 

All the properties of parallelograms mentioned above can be easily proved using basic geometric principles. If you're interested in learning how to do so, there are plenty of resources available online and in your textbook. 

Conclusion

In conclusion, there are several important properties of parallelograms that every geometry student should know. These include the fact that opposite sides are equal in length, opposite angles are equal in measure, and that parallelograms have diagonals that bisect each other. Keep these properties in mind the next time you encounter a parallelogram in one of your geometry problems!

FAQ

What are the properties of parallelograms?

The properties of parallelograms include the fact that opposite sides are equal in length, opposite angles are equal in measure, and that parallelograms have diagonals that bisect each other. Additionally, the consecutive angles of a parallelogram form a linear pair, and the consecutive sides of a parallelogram are supplementary.

What are the 7 properties of a parallelogram?

The seven properties of a parallelogram are as follows: 1) Opposite sides are equal in length; 2) Opposite angles are equal in measure; 3) Parallelograms have diagonals that bisect each other; 4) The consecutive angles of a parallelogram form a linear pair; 5) The consecutive sides of a parallelogram are supplementary; 6) The area of a parallelogram is the product of its length and width; 7) Parallelograms have four right angles.