Perpendicular and Parallel Lines
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What are the slopes of perpendicular lines?
Back
The slopes of perpendicular lines are opposite reciprocals.
Tags
CCSS.8.EE.B.6
2.
FLASHCARD QUESTION
Front
If a line has a slope of -2/3, what is the slope of a line that is perpendicular to it?
Back
The slope of a line that is perpendicular to a line with a slope of -2/3 is 3/2.
Tags
CCSS.8.EE.B.6
3.
FLASHCARD QUESTION
Front
What is the slope of a line parallel to a line with a slope of 3/7?
Back
The slope of a line parallel to a line with a slope of 3/7 is also 3/7.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
How do you write the equation of a line perpendicular to y = 2x + 3 through the point (-2, 4)?
Back
To write the equation, first find the slope of the perpendicular line, which is -1/2. Then use point-slope form: y - 4 = -1/2(x + 2), which simplifies to y = -1/2x + 3.
5.
FLASHCARD QUESTION
Front
What is the equation of a line that is perpendicular to y = 3x - 6 and passes through the point (15, 5)?
Back
The slope of the line perpendicular to y = 3x - 6 is -1/3. Using point-slope form: y - 5 = -1/3(x - 15), which simplifies to y = -1/3x + 10.
6.
FLASHCARD QUESTION
Front
What is the definition of parallel lines?
Back
Parallel lines are lines in a plane that never meet; they have the same slope.
Tags
CCSS.HSG.CO.A.1
7.
FLASHCARD QUESTION
Front
What is the definition of perpendicular lines?
Back
Perpendicular lines are lines that intersect at a right angle (90 degrees); their slopes are opposite reciprocals.
Tags
CCSS.HSG.CO.A.1
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