Perpendicular vs Parallel

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

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

If two lines have slopes m1 and m2, what condition must they satisfy to be perpendicular?

Back

m1 * m2 = -1 (the slopes are opposite reciprocals).

Tags

CCSS.8.EE.B.6

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of the perpendicular line is -1/3.

Tags

CCSS.8.EE.B.6

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that goes through the points (2, 3) and (4, 7)?

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Tags

CCSS.8.EE.B.5

Front

If two lines are parallel, what can you say about their slopes?

Back

Their slopes are equal.

Tags

CCSS.8.EE.B.6

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope is 5.

Tags

CCSS.8.EE.B.5

Front

Given the equation y = -2x + 4, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is 1/2.

Tags

CCSS.8.EE.B.6

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7