Directed Line Segment Geometry

Find P, so that AP is three-elevenths of PB. Given the A (-6, -6) and B(-2, 1).

• (-54/11, 32/11)

• (-10/11, 32/11)

• (-54/11, -1/11)

• (-54/11, -45/11)

Directed line segment AB is partitioned by point P into a ratio of 2:3. Which of the following represent this relationship?

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• 
• 
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Given the points A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2.

The coordinates for point P are:

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

Given the points A = -1 and B =7, find the point 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:

• P = 1

• P = 0

• P = 3

• P = -1

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.
In the above problem, what is the value of a/(a+b)?

• 1/3

• 1/4

• 3/1

• 3/4

On the line segment, the ratio of the length of TU to the length of UV is 4:7. If it can be determined, what is the ratio of the length of TU to the length of TV?

• 1:7

• 2:11

• 4:11

• 11:4

• Cannot be determined from the given information

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

Find the point that is 3/4 of the distance from X to Y.

• (-6, -2)

• (2, -4)

Find P along the directed line segment so the ratio is 3 to 2. A(3,2) B(6,8)

• (3,6)

• (4.8,5.6)

• (1.4, 3.7)

• (1.8, 3.6)

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

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4