Parallel & Perpendicular Lines

Parallel & Perpendicular Lines

Parallel / Perpendicular
·  Two lines are parallel if they will never intersect / ·  Two lines are perpendicular if they intersect at a 90˚ angle (right angle)
·  The slopes of parallel lines are equal. / ·  The slopes of perpendicular lines are negative reciprocals.

1. Find the negative reciprocal of the following numbers. Check your answers (product = -1).

a. / b. / c.

2. Determine which of the following lines are parallel and which are perpendicular to the line defined by .

a. / b. / c.

3. Which of the following line segments are perpendicular?

·  Line segment , where A(-7, 4) and B(2, 10)

·  Line segment , where M(-5, 0) and N(5, 8)

·  Line segment , where P(2, -2) and Q(-2, 3)

4. Determine the equation of the line that is parallel to , and passes through the point (14, 9).

5.  Determine the equation of the line that is perpendicular to , and has the same y-intercept.

6.  Determine the equations of the lines that passes through the following points and determine if these lines are parallel or perpendicular:

1. A (1,5) and B (-8, -13)
2. C (-9, 3) and D (-2,17)

7.  Prove that the lines segment is perpendicular to line segment , where

A ( -5,-10) B ( 0,0 ) and M (5,5) N ( 11,2)