# 8.3 Worksheet Proving Parallelograms Answer Key

## What is a Parallelogram?

A parallelogram is a four-sided shape with two sets of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are of equal measure. Parallelograms are used to prove theorems in geometry and are important tools in many mathematical equations.

## Proving Parallelograms

In order to prove that a figure is a parallelogram, one must use the properties of a parallelogram. These properties include: opposite sides are congruent, opposite angles are congruent, and consecutive angles are supplementary. In addition, if a parallelogram has four right angles, then it is a rectangle.

## 8.3 Worksheet Proving Parallelograms

The 8.3 Worksheet Proving Parallelograms is a worksheet designed to teach students how to prove that a given figure is a parallelogram. The worksheet includes twelve figures, each of which must be proven as a parallelogram. Students must use the properties of a parallelogram to determine if the given figure is a parallelogram or not.

### Answer Key

The answer key for the 8.3 Worksheet Proving Parallelograms is available online. The answer key lists the answers to each of the twelve figures. It also provides a brief explanation of the properties used to prove each figure as a parallelogram. This can help students understand the process of proving a figure and help them determine if a figure is a parallelogram or not.