## Introduction

Welcome to the second homework of Unit 3 Parallel and Perpendicular Lines. In this homework, you will learn the basics of angles and lines, the different types of lines, and how to identify them. At the end of this homework, you should be able to identify parallel and perpendicular lines and their properties. So let’s get started!

## Parallel Lines

Parallel lines are lines that lie in the same plane and never intersect. They are always the same distance apart, and they always maintain the same slope. To determine if two lines are parallel, you can use the slope formula. If the slopes of the two lines are equal, then the lines are parallel. If the slopes of the two lines are not equal, then the lines are not parallel.

## Perpendicular Lines

Perpendicular lines are lines that intersect at a 90-degree angle. To determine if two lines are perpendicular, you can use the slope formula. If the slopes of the two lines are negative reciprocals of each other, then the lines are perpendicular. If the slopes of the two lines are not negative reciprocals of each other, then the lines are not perpendicular.

## Identifying Parallel and Perpendicular Lines

To identify parallel and perpendicular lines, you must first determine the slope of each line. If the lines have the same slope, then they are parallel. If the lines have slopes that are negative reciprocals of each other, then they are perpendicular. You can also use a graph to identify parallel and perpendicular lines. Parallel lines will never intersect, while perpendicular lines will intersect at a 90-degree angle.

## Conclusion

In this homework, you have learned the basics of angles and lines, the different types of lines, and how to identify them. You should now be able to identify parallel and perpendicular lines and their properties. With this knowledge, you will be able to solve more complex problems involving angles and lines. Good luck!

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