Parallel and Perpendicular Slopes

Parallel and Perpendicular Slopes

by Caren Garza

Multiple Choice

If a line has a slope of 3/4 a line that is parallel has a slope of what?

• 3/4

• 4/3

• -3/4

• -4/3

Multiple Choice

What is the slope of the line parallel to a vertical line?

• 1

• 0

• undefined

• -1

Multiple Choice

What is the slope of a line that is parallel to a horizontal line?

• 0

• 1

• -1

• undefined

...​or Opposite Reciprocals

Multiple Choice

A line is perpendicular to    y = 2x - 7. What is the slope of this line? 

• -2

• 1/2

• -1/2

• 2

Multiple Choice

y = ^{- 2}/₃x + 2 y = ³/₂x + 9 These lines are...

• Parallel

• Perpendicular

• Neither

Multiple Choice

y = ¹/₃x + 2 

y = 4x + 9

These lines are...

• Parallel

• Perpendicular

• Neither

Slope Formula

​Identifying the slopes will help us identify if sides are parallel or perpendicular to each other. This will help us prove properties of quadrilaterals.

Multiple Choice

What is the slope of a line perpendicular to a line with slope -6?

• ^-6/₅

• ^-2/3

• ^-1/6

• ^1/6

Multiple Choice

What slope is parallel to:   m = ³/₄

• ⁴/₃

• ³/₄

• ^-3/₄

• ^-4/₃

Multiple Choice

What is the slope of a line that is perpendicular to a vertical line?

• 1

• 0

• -1

• undefined

​Distance Formula

​We use distance formula to find the length of a side when proving properties of quadrilaterals.

Multiple Choice

What is the slope of a line that is perpendicular to a horizontal line?

• 1

• 0

• -1

• undefined

Multiple Choice

y = 3x +2 y = 3x - 3 These lines are...

• Parallel

• Perpendicular

• Neither

• The same line

Multiple Choice

-6x + y = 2

6x + y = 2

These lines are...

• Parallel

• Perpendicular

• Neither

​Midpoint Formula

​

​We use the midpoint formula when we are trying to prove that segments/sides are bisecting another side.

Multiple Choice

What is the slope of a line perpendicular to a line with a slope of 1?

• 0

• undefined

• -1

• 1

Multiple Choice

y = -2/3x + 2 y = 3/2x + 9 These lines are...

• Parallel

• Perpendicular

• Neither