Parallel and Perpendicular Lines

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What are parallel lines?
Back
Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.
2.
FLASHCARD QUESTION
Front
What are perpendicular lines?
Back
Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.
3.
FLASHCARD QUESTION
Front
How do you determine if two lines are parallel from their equations?
Back
Two lines are parallel if they have the same slope. For example, in the equations y = mx + b, if both lines have the same value of m, they are parallel.
4.
FLASHCARD QUESTION
Front
How do you determine if two lines are perpendicular from their equations?
Back
Two lines are perpendicular if the product of their slopes is -1. If one line has a slope of m, the other must have a slope of -1/m.
5.
FLASHCARD QUESTION
Front
What is the slope of the line y = 3x - 12?
Back
The slope of the line y = 3x - 12 is 3.
6.
FLASHCARD QUESTION
Front
Write the equation of a line that is perpendicular to y = 2x + 5 and passes through the point (1, 2).
Back
The equation is y = -1/2x + 2.5.
7.
FLASHCARD QUESTION
Front
What is the circumcenter of a triangle?
Back
The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
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