Partitioning a Line Segment

The endpoints of segment AB are given. Find the coordinates of the point P that partitions the segment in the given ratio. -4, 12 3:1

What is the term for a part of a line with two endpoints?

• point

• ray

• angle

• line segment

Name the Image. 

• Ray

• Point

• Line

• Line segment

What are the arrows pointing to?

• Ray

• Endpoints

• Midpoint

• Vertex

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

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

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

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)

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

• Yes

• No