Parallel & Perpendicular GEO

Parallel & Perpendicular GEO

By David Miller

​Lesson informaiton

​standard - MGSE9-12.G.GPE.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

​learning targets Use the slopes of lines to determine if lines are parallel, perpendicular, or neither.

Write the equation of a line that goes through a given point and is parallel or perpendicular to another line.

Essential Question - ​How would you portray a parallel or perpendicular line with an equation?

Multiple Choice

Slopes of parallel lines are...

• opposite reciprocals.
• opposites.
• the same.
• always 7.

Multiple Choice

Slopes of perpendicular lines are...

• opposite reciprocals.
• opposites.
• identical.
• always 7.

Multiple Choice

What slope is parallel to:  
m = ³/₄

• ⁴/₃
• ³/₄
• ^-3/₄
• ^-4/₃

Multiple Choice

The following represents slopes of two lines. Which answer choice describes the two lines? $$m=-\frac{1}{3}$$  and  $$m=-\frac{1}{3}$$  .

• Parallel

• Perpendicular

• Neither

Multiple Choice

What is the slope of a line perpendicular to -10/3

• -10/3

• 10/3

• 3/10

• -3/10

Multiple Choice

What is the slope of a line perpendicular to 5?

• 5

• 1/5

• -1/5

• -5

Multiple Choice

The following represents slopes of two lines.  Which answer choice describes the two lines?
m = 7 and m = -7

• Parallel
• Perpendicular
• Neither

Multiple Choice

Are the lines shown parallel. perpendicular, or neither?

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the lines shown parallel. perpendicular, or neither?

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the lines below parallel, perpendicular, or neither?

• Parallel

• Perpendicular

• Neither

Multiple Choice

Are the lines below parallel, perpendicular, or neither?

• Parallel

• Perpendicular

• Neither

Multiple Choice

Which graph would be parallel to the graph of the equation y = - ⅔ x + 20

Multiple Choice

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

• Parallel
• Perpendicular
• Neither

Multiple Choice

Which of the following lines is PERPENDICULAR to the graph of 6x + y = 3? Hint: get into y=mx+b to find slope

• $$y=\frac{1}{6}x+2$$

• $$y=x+4$$

• $$y=-\frac{1}{6}$$

• $$y=6x-32$$

Multiple Choice

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

• YES
• NO

Multiple Choice

What is the formula for Point-Slope Form?

• y - y₁ = m(x - x₁)
• y = mx + b
• y + y₁ = m(x + x₁)
• y = mx - b

Multiple Choice

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

• y = 2x + 13

• y = 2x + 5

• y = -1/2x + 3

• y = -1/4x + 11/2

Multiple Choice

Which of the following lines goes through the point (0, 4) and is PARALLEL to y = 5x - 3?

• $$y=\frac{1}{5}x-3$$

• $$y=5x-7$$

• $$y=5x+4$$

• $$y=-5x-3$$

Multiple Choice

What slope is perpendicular to a line with a slope of 0?

• 0

• undefined

• 1/2

• -1/2

Multiple Choice

Are the two linear equations parallel, perpendicular, or neither?

• Parallel

• Perpendicular

• Neither

Multiple Choice

Write the equation of a line that is perpendicular to y = 3

• y = -1/3

• y = 0

• x = -2

• y = -1/3x

Multiple Choice

What is the equation of a line that is perpendicular to x = 18

• x = 18

• x = -1/18

• y = 3

• y = -1/18x