Partitions of Line Segments

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

• (15/4, 5/2)

• (15/4, 7/2)

• (19/4, 3/2)

• (23/4, 3/2)

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

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• 
• 
• 

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

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• 
• 
• 

• Choice (1)

• Choice (2)

• Choice (3)

• Choice (4)

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

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 1:3

• (3.75, 2.5)

• (3.25, 4.5)

• (4.75, 1.5)

• (5.75, 1.5)

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)