Parallel & Perpendicular GEO

Presentation

•

Mathematics

•

8th - 10th Grade

•

Medium

•

CCSS

8.EE.B.6, 8.EE.B.5, 4.G.A.1

Standards-aligned

David Miller

Used 24+ times

FREE Resource

8 Slides • 22 Questions

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?

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

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?

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

Parallel & Perpendicular GEO

By David Miller

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