Applying coordinates to different geometrical scenarios

Find the point P that partitions the line segment AB given the ratio.

A (12, 5) B(4, 3) with the ratio 1:3

• (10, 4.5)

• (6, 3.5)

• (8, 4)

• (16, 8)

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)

Find the point that partitions the line in the ratio 2:3 of the distance from C to D.

• (-1, 2)

• (0, 0)

• (1, -2)

• (0, -1)

• (-2, -4)

Determine the ratio of the directed line segment AB when partitioned by point P.

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

If a point is 1/2 of the way from point A(1, 4) to point B(7, 10), what are the coordinates of the point?

• (2, 5)

• (5, 8)

• (3, 6)

• (4, 7)

Line segment AC has endpoints A(-1, -3.5) and C(5, -1). Point B is on line segment AC and is located at (0.2, -3). What is the ratio of AB:BC?

• 1:5

• 1:2

• 1:4

• 1.3:5.2

Directed line segment BA is partitioned by point P into a ratio of 1:4. Which of the following represent this relationship?

• 
• 
• 
• 

Given the points A = 2 and B =14, find point P on directed line segment AB that partitions AB into a ratio 1:3.

• P = 5

• P = 7

• P = 4

• P = 8

Find the point P that partitions the line segment AB given the ratio.

A (-5, 8) B(9, 3) with the ratio 2:5

• (5, 4.4)

• (-1, 7.6)

• (-1, 6.6)

• (13, 1.6)

Which point represents the given partition between the points below:

(-2, 6) and (7, 9) 1:2

• (1.5, 7)

• (2.5, 7.5)

• (1, 7)

• (1, 8)