Directed Line Segments

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

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

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

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

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.

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

Is the ratio of the directed line segment AB the same as segment BA when partitioned by point P?

• Yes

• No

Find the point C that breaks the directed segment AB in to a ratio of 1:2

Write your answer in the coordinate form (x, y)

On the directed segment DC, which is the initial point?

• D

• C

• not enough information

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

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

• (7,9)

• (9,7)

• (-3,9)

• (5,1)

Find the point C that breaks the directed segment AB in to a ratio of 1:1. Write your answer in the coordinate form (x, y)

• (-2, 1)

• (-1, -0.5)

• (-1, -1)

• (-0.5, -1)

Find the distance.

• 7.1

• 7.8

• 8.7

• 8.9