Dividing Segments Proportionally

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

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

• (-1, 2)

• (0, 0)

• (1,-2)

• (-2,4)

Points C, D, E are collinear on segment CE, and CD:CE is 3 to 5. C(1,3) and E(8, 4). what are the coordinates of D?

• (6.6 , 3.8)

• (29, 7)

• (-4.6, 2.2)

• ( 5.2, 3.6)

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)

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)

Determine the length of MQ and PQ

• MQ=4, PQ=8

• MQ=4, PQ=4

• MQ=8, PQ=4

• MQ=8, PQ=8

Find ST.

• 11

• 12

• 13

• 14

Find the length of segment EC

• 33

• 36

• 40

• 35

Use the figure to write and solve an equation for x.

• 5

• 6

• 7

• 8