# Parallel and Perpendicular Lines Worksheets

What is the Difference Between Parallel and Perpendicular Lines? A line that crosses or intersects another line at 90 degrees is known as the perpendicular line. To represent a perpendicular, we draw a small square at the corner that forms the right angle. Parallel lines are defined as the two lines drawn at some distance apart. These lines neither intersect nor touch each other. For two lines to be parallel, they are drawn in the same plane. Parallel lines help us understand the relationships between the sides of numerous shapes. Shapes like square, parallelogram, and rectangle have sides that are parallel to each other. As parallel lines continue without intersecting each other, they have the same slope. On the other hand, perpendicular lines intersect at 90 degrees; their slopes are the negative reciprocals of each other.

• ### Basic Lesson

Guides students through the process of identifying parallel and perpendicular lines. Parallel Lines have the same slope. The symbol to indicate lines are parallel is two vertical bars.

• ### Intermediate Lesson

Demonstrates the application of parallel and perpendicular lines in equations. Find the equation of line parallel to the line whose equation is y = -3x + 5 and whose y-intercept is -5. The equation of line is y= -3x + 5 has slope -3.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Parallel & Perpendicular Lines. Example: Find the slope of line perpendicular to a line whose equation is 3y + 2x = 6.

• ### Independent Practice 2

Students tackle the concept of Parallel & Perpendicular Lines in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Parallel & Perpendicular Lines.

• ### Skill Quiz

This tests the students ability to evaluate Parallel & Perpendicular Lines problems.

Answers for the homework and quiz.

• ### Answer Key Part 2

Answers for lessons and both practice sheets.

• ### Basic Lesson

Guides students through determining the slope of parallel & perpendicular lines. Since the lines are parallel, the slopes are equal. The slope of is 3/5.

• ### Intermediate Lesson

Demonstrates how to find slope in difficult situations. Since the lines are parallel, the slopes are negative reciprocals. 3y+2x = 6.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Parallel & Perpendicular Line.

• ### Independent Practice 2

Students use Parallel & Perpendicular Line in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Parallel & Perpendicular Line.

• ### Skill Quiz

This tests the students ability to understand Parallel & Perpendicular Line.