Select all that are true.

Perpendicular lines intersect at a right angle.

Parallel lines never intersect.

Parallel lines intersect at a right angle.

Perpendicular lines never intersect.

Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form.

y = 1 3 x − 1 y=\frac{1}{3}x-1 y = 3 1 x − 1

y = 1 3 x − 3 y=\frac{1}{3}x-3 y = 3 1 x − 3

y = − 1 3 x − 9 y=-\frac{1}{3}x-9 y = − 3 1 x − 9

y = − 3 x − 9 y=-3x-9 y = − 3 x − 9

Quiz 3-3 Parallel and Perpendicular Lines

Quiz

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Mathematics

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9th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSG.CO.A.1, HSG.GPE.B.5, HSG.CO.C.11

Standards-aligned

Maria Mitchell

Used 4+ times

FREE Resource

About this resource

This quiz focuses on parallel and perpendicular lines within coordinate geometry, specifically targeting the relationship between slopes and line orientation. The content is appropriate for grades 9-10, as it requires students to understand slope-intercept form, manipulate fractional slopes, and apply the point-slope formula to write equations of lines. Students must master the fundamental concept that parallel lines have identical slopes while perpendicular lines have slopes that are opposite reciprocals of each other. The quiz progresses from basic definitional questions to more complex applications, requiring students to identify slope relationships, determine whether given lines are parallel or perpendicular, and construct equations of lines that satisfy specific geometric conditions through given points. Success on these problems demands fluency with algebraic manipulation, fraction operations, and the ability to translate between geometric relationships and algebraic expressions. Created by Maria Mitchell, a Mathematics teacher in US who teaches grade 9-12. This assessment effectively supports classroom instruction by providing multiple opportunities for students to demonstrate their understanding of parallel and perpendicular line relationships through varied question formats. Teachers can utilize this quiz as a formative assessment following direct instruction on slope relationships, as targeted practice before a unit exam, or as a warm-up activity to review previously learned concepts. The progression from conceptual understanding to computational application makes it ideal for identifying students who need additional support with either the theoretical foundations or the algebraic procedures. The quiz aligns with Common Core standards HSG.GPE.B.5, which requires students to prove geometric theorems algebraically, and HSA.CED.A.2, which focuses on creating equations that describe relationships between quantities, particularly in geometric contexts.

Quiz 3-3 Parallel and Perpendicular Lines

10 questions

Slopes of parallel lines are...

Slopes of perpendicular lines are...

What slope is perpendicular to:
m = 5/8

What slope is parallel to:
m = 4

What slope is perpendicular to:
m = -3

Are these lines parallel, perpendicular, or just intersecting (but not perpendicular)?
$y=6x+2$ $y=-6x-2$

Select all that are true.

Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

Write an equation that is parallel to
y = -2x + 4
and runs through the point (-3, 2 )

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Quiz 3-3 Parallel and Perpendicular Lines

10 questions

Slopes of parallel lines are...

Slopes of perpendicular lines are...

What slope is perpendicular to: m = 5/8

What slope is parallel to:m = 4

What slope is perpendicular to: m = -3

Are these lines parallel, perpendicular, or just intersecting (but not perpendicular)? y=6x+2y=6x+2y=6x+2 y=−6x−2y=-6x-2y=−6x−2

Select all that are true.

Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

Write an equation that is parallel to y = -2x + 4and runs through the point (-3, 2 )

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

What slope is perpendicular to:
m = 5/8

What slope is parallel to:
m = 4

What slope is perpendicular to:
m = -3

Are these lines parallel, perpendicular, or just intersecting (but not perpendicular)?
$y=6x+2$ $y=-6x-2$

Write an equation that is parallel to
y = -2x + 4
and runs through the point (-3, 2 )