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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

8. Slopes of Parallel and Perpendicular Lines

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Exercise 1 Page 201

Parallel lines have the same slope but different y-intercepts. Perpendicular lines have slopes that are opposite reciprocals of one another.

Perpendicular, see solution.

Practice makes perfect

Parallel lines have the same slope but different y-intercept. Perpendicular lines have slopes that are opposite reciprocals of one another. Therefore, to determine if the lines are parallel, perpendicular, or neither, we first need to find their slopes using the Slope Formula.

Line	Points	y_2-y_1/x_2-x_1	Slope	Simplified Slope
AB	A( -8, 3) & B( -4, 11)	11- 3/-4-( -8)	8/4	2
CD	C( -1, 3) & D( 1, 2)	2- 3/1-( -1)	-1/2	-1/2

These lines have different slopes, so they cannot be parallel. We can determine if they are perpendicular by multiplying the slopes. 2 (-1/2)=- 1 Since the product of the slopes equals -1, they are perpendicular.

Subchapter links

Lesson Check p.201

Practice and Problem-Solving Exercises p.201-204

Standardized Test Prep p.204

Mixed Review p.204