Midpoint and Partitioning a Directed Line Segment

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

• (-1, 2)

• (0, 0)

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. 

• (1,5)
• (3,7)
• (4,4)
• (5,8)

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

• (-6, -2)

• (2, -4)

Find the point P that partitions the line segment AB into the given ratio AP:PB is 2:5, where A (-5, 8) & B(9, 3). Select all that apply.

• k is 2/5

• (-1, 46/7)

• (-1, 53/7)

• (13, 11/7)

• k is 2/7

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) 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)

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

• 
• 
• 
• 

Directed line segment AB is partitioned by point P into a ratio of 1:4. Which of the following represent this relationship?

• 
• 
• 
• 

Directed line segment MN partitioned into a ratio of 1:2 is the same as directed line segment NM partitioned into a ratio of 2:1.

• True

• False

Point P (-2,0) partitions line segment AB, A(0,0) B(-12,0) into a 5:1 ratio.

• True

• False