Partition a Segment

Find the point that is 2/5 of the distance from C to D.

• (-1, 2)

• (0, 0)

Find the coordinates of B if P(7,9) partitions segment AB in the ratio 5:1 and A(2, 4). B has coordinates (___,___).

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

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

• (3.75, 2.5)

• (3.75, 3.5)

• (4.75, 1.5)

• (5.75, 1.5)

Find P, so that AP is two-sevenths of PB. A is a (-5, 8) and B is at (9, 3).

• (12, 11/7)

• (-1, 53/7)

• (-1, 46/7)

• (13, 11/7)

Find the midpoint of point J and K

• (-3,3)

• (1,3)

• (-1,3)

• (2, 2.5)

What are the coordinates of the point 3/5 of the way from A to B?

• (9,5)

• (3, -4)

• (6, 2)

• (8, 7/2)

Given point C( 2,-4) and D(-3,6), find point P on the directed segment CD that partions CD in the ratio 2:3. Show the work.

• (-1, 2)

• (0, 0)

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10). Show the work. _____________________________

• (7,9)

• (9,7)

• (-3,9)

• (5,1)

Find the y-coordinate of the midpoint of the segment.

• 1

• 2

• -2

• 3