Partitioning a Line Segment

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with AP to PB having the ratio 3:1

• (3.75, 2.5)

• (3.75, 3.5)

• (4.75, 1.5)

• (5.75, 1.5)

Find the point P that partitions the line segment DC with DP to PC having the ratio 2:5

• (-11/7, 22/7)

• (0,0)

• (-1, 2)

• (4/7, -8/7)

Given line AB with A(8, -4) and B(-6, -11), if P partitions AB such that the ratio of AP to AB is 2:7, find the coordinates of P.

Given the points C(-1,-5) and D(-7,11), find the coordinates of point E on line CD such that the ratio of CE to ED is 5:3.

Given the the points R(6,-2) and T(-9,-7), find the coordinates of point S on line RT such that RS to ST is 3:2.

Given the line XZ with X(1,9) and Z(5,-11), if Y is collinear to line XZ such that the ratio of XY to YZ is 1:3, find the coordinates of point Y.

Directed line segment AB is partitioned by P such that AP to PB is a ratio of 1:3. Which of the following represent this relationship?

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Directed line segment AB is partitioned by point P such that AP to PB is a ratio of 1:4. Which of the following represent this relationship?

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Find P, so that AP to AB so that the ratio is two sevenths. A is a (-5, 8) and B is at (9, 3).

• (12, 11/7)

• (-1, 53/7)

• (-1, 46/7)

• (13, 11/7)

The _____________ is a point, line, or line segment that partitions a line segment in a particular ratio

• congruent line segments

• segment partition

• midpoint of a segment