Parallel vs Perpendicular

Exploring Parallel and Perpendicular Lines

Understanding the relationship between parallel and perpendicular lines and their significance in geometry.

Parallel and Perpendicular Lines

Math Response

What is the negative reciprocal?

2

Type answer here

Correct Answer: -\frac{1}{2}

Deg^°

Rad

Math Response

What is the negative reciprocal?

−⅞

Type answer here

Correct Answer: \frac{8}{7}

Deg^°

Rad

Math Response

What is the negative reciprocal?

1

Type answer here

Correct Answer: -1

Deg^°

Rad

Relationship Between Parallel and Perpendicular Lines

• Parallel lines have the same slope, while perpendicular lines have negative reciprocal slopes.
• Using the slope formula, we can determine if lines are parallel or perpendicular.
• For example, if the slopes of two lines are equal, they are parallel.
• If the slopes are negative reciprocals, they are perpendicular.

Multiple Choice

What is the relationship between the slopes of parallel and perpendicular lines?

• Parallel lines have the same slope.

• Perpendicular lines have slopes that are negative reciprocals of each other.

• Parallel lines have equal slopes, while perpendicular lines have slopes that multiply to -1.

• Parallel lines have different slopes, while perpendicular lines have the same slope.

Multiple Choice

How can the slope be used to determine if lines AB and CD are parallel, perpendicular, or neither?

• By comparing their slopes

• By comparing their lengths

• By comparing their y-intercepts

• By comparing their angles

Multiple Choice

Problem 5

• Parallel

• Perpendicular

• Neither

Multiple Choice

Problem 6

• Parallel

• Perpendicular

• Neither

Multiple Choice

Problem 7

• Parallel

• Perpendicular

• Neither

Multiple Choice

Problem 8

• Parallel

• Perpendicular

• Neither

Multiple Choice

Problem 9

• Parallel

• Perpendicular

• Neither

Multiple Choice

Problem 10

• Parallel

• Perpendicular

• Neither

Problem 11

Math Response

Problem 12

y = ?

Type answer here

Correct Answer: 8

Deg^°

Rad