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3.5 Parallel and Perpendicular Lines

3.5 Parallel and Perpendicular Lines. Partitioning a Directed Line Segment. Partition. What does it mean?. Partition. To divide a segment into smaller segments.

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3.5 Parallel and Perpendicular Lines

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  1. 3.5 Parallel and Perpendicular Lines Partitioning a Directed Line Segment

  2. Partition What does it mean?

  3. Partition • To divide a segment into smaller segments.

  4. Find the coordinates of P so that it divides the line segment with endpoints A(3,2) and B(6,8) such that the ratio of AP to PB is 3 to 2. • Find the slope of the line. • Add the numbers of the ratio, so you know how many pieces to partition the segment into (in this case it is 3+2=5). • Find the fraction (previous number is your denominator) that you wish to move up the line (in this case it is 3/5). • Multiply the rise and run by that fraction. • Use your slope in (4) to find point P.

  5. Find the coordinates of P so that it divides the line segment with endpoints A(3,2) and B(6,8) such that the ratio of AP to PB is 3 to 2. Now find a line perpendicular to AB through P.

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