Applying coordinates to different geometrical scenarios

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

The coordinates of the point P are:

• (1,5)

• (0,4)

• (3, 1)

• (-1, 1)

Find the coordinates of point P along the directed line segment AB so that the ratio of AP to PB is 1 to 3.

• P (0.5, 2)

• P (1, 2)

• P (4.5, 4.5)

• P (2, 2.5)

Given the points A = 4 and B = -2, find point P on directed line segment AB that partitions AB in a the ratio 1:2.

• P = 1

• P = 3

• P = 2

• P = -1

Find the missing value (x,2) and (6,3); m=3/2

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

• (-1, 2)

• (0, 0)

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?

• 
• 
• 
• 

Determine the coordinate of P that partitions JK such that JP to PK is at a ratio of 1:1

• (-3,3)

• (1,3)

• (-1,3)

• (2, 2.5)

If a point is 1/3 of the way from point A(3, 5) to point B(9, 15), what are the coordinates of the point?

• (7, 9)

• (4, 6)

• (5, 7)

• (6, 8)

• (2, -4)

• (0, -3)

• (-2, 0)

• (0, -2)

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