# 7.2 Properties of Parallelograms Answer Key

Parallelograms are four-sided shapes with opposite sides parallel to each other. Understanding the properties of parallelograms is essential for mathematicians of all levels, and it is important to be able to answer questions about these shapes correctly. In this article, we will look at the most important properties of parallelograms, and how to use them to answer questions correctly.

## The Definition of a Parallelogram A parallelogram is a four-sided shape which has two pairs of parallel sides. These sides, along with the angles, give the parallelogram its unique properties. The angles of a parallelogram are equal, and the opposite sides are congruent. The diagonals of a parallelogram bisect each other, which means that they cut each other in half.

## The Properties of a Parallelogram The properties of a parallelogram are important for understanding the shape and answering questions about it. The most important properties are the following:

• Opposite sides are congruent and parallel
• The angles of a parallelogram are equal
• The diagonals bisect each other
• The sum of the angles of a parallelogram is 360 degrees
• The area of a parallelogram is equal to the length of its base multiplied by its height

## Using the Properties of a Parallelogram These properties can be used to answer questions about parallelograms. For example, if you are given the dimensions of a parallelogram, you can use the properties to calculate its area. You can also use the properties to determine the angle measures or side lengths of a given parallelogram. Furthermore, you can use the properties to solve problems that involve parallelograms, such as finding the perimeter or area of a given parallelogram.

## Conclusion Understanding the properties of parallelograms is essential for mathematicians of all levels. The properties of a parallelogram can be used to answer questions and solve problems involving these shapes. By using the properties correctly, you will be able to answer questions and solve problems involving parallelograms correctly.