Partitioning Segments in Given Ratios

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

6) The ratio is 3:1. How many parts are there?

• 2

• 3

• 4

• 5

Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5

• (12, 1.6)
• (-1, 7.6)
• (-1, 6.6)
• (13, 1.6)

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

• (3.75, 2.5)
• (3.75, 3.5)
• (4.75, 1.5)
• (5.75, 1.5)

Find the point P that partitions the line segment AB given the ratio.

A (3, 5) B(4, 3) with the ratio 1:3

• (3.75, 2.5)

• (3.25, 4.5)

• (4.75, 1.5)

• (5.75, 1.5)

Determine the coordinate of P that partitions JK at a ratio of 1:1

• (-3,3)

• (1,3)

• (-1,3)

• (2, 2.5)

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)