3.5 Parallel and Perpendicular Lines

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Presentation transcript:

3.5 Parallel and Perpendicular Lines Partitioning a Directed Line Segment

Partition What does it mean?

Partition To divide a segment into smaller segments.

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.

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.