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3.6 Perpendiculars and Distance

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Presentation on theme: "3.6 Perpendiculars and Distance"— Presentation transcript:

1 3.6 Perpendiculars and Distance
By the end of class you will be able to find the distances between points and lines

2 Find the distance between the point and line
Distance is always measured along perpendicular lines

3 Draw the distance from <A

4 Distance and Parallel Lines
Parallel Lines are equidistant from each other If two lines are equidistant from a third line, then the two lines are parallel to each other. If two lines are parallel to a third line, then all three lines are parallel.

5 Distance from a Point to a Line
Find the distance between the point (1,5) and the line y=-1x+2

6 Distance from a Point to a Line
Find the distance between the line that contains the points (2,1) and (-5, 4) and the point (3, 3)

7 Distance Between Parallel Lines
Find the distance between y=5 and y=-2. Find the distance between x=-3 and x=8

8 Distance Between Parallel Lines
Find the distance between the lines y=2x+3 and y=2x-1

9 Distance Between Parallel Lines
Find the distance between the lines y=2x-3 and y=2x+3


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