# Parallel and Perpendicular Lines (Grade 9)

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## Parallel and Perpendicular Lines

1.

True or False. In a plane, if two lines are perpendicular to the same line, then they are parallel.

- True
- False

2.

Two lines with the same slope are perpendicular.

- True
- False

3.

Perpendicular lines have slopes that are opposite in sign and reciprocals of each other.

- True
- False

4.

Lines l and m intersect to form congruent supplementary angles. What can you conclude?

- Lines l and m and skew.
- Lines l and m are parallel.
- Lines l and m are perpendicular.
- None of the above.

5.

Tell whether the lines with the given slopes are parallel, perpendicular, or neither.

Line 1: m = 2

Line 2: m = -2

Line 1: m = 2

Line 2: m = -2

- parallel
- perpendicular
- neither

6.

Which line is perpendicular to [math]y = 4x + 5[/math]?

- [math]y = - x/4 + 5[/math]
- [math]y = -4x + 5[/math]
- [math]y = x/4 + 5[/math]
- [math]y = 4x - 5[/math]

7.

Write an equation in slope-intercept form for a line containing (3,2) and perpendicular to the line with equation y = -2x + 6.

- [math]y = 1/2x - 2[/math]
- [math]y = 3x +3[/math]
- [math]y = 1/2x + 1/2[/math]
- [math]y = -2x + 2[/math]

8.

Which line is parallel to [math]y = 3x - 7[/math]?

- [math]y = -3x - 7[/math]
- [math]y = - x/3 + 2[/math]
- [math]y = x/3 + 7[/math]
- [math]y = 3x + 10[/math]

9.

The graph of which equation passes through (-3,-2) and is perpendicular to the graph of [math]y = 3/4x + 8[/math]?

- [math]y = -3/4x - 5[/math]
- [math]y = 3/4x + 1/4[/math]
- [math]y = -4/3x + 5[/math]
- [math]y = -4/3x -6 [/math]

10.

Write an equation for a line that is perpendicular to the line [math]y=2x+7[/math]

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