Partitioning Line Segment

When do you use partitioning formula?

• to find the distance of a line segment

• to find only the midpoint of a line segment

• to find a point that divides a line segment into a specific ratio

• to shorten a line

Given the points A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2.

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

• Choice (1)

• Choice (2)

• Choice (3)

• Choice (4)

Determine the ratio of the directed line segment AB when partitioned by point P.

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

Determine the ratio of the directed line segment AB when partitioned by point P.

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

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)

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?

• 
• 
• 
• 

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 (-5, 8) B(9, 3) with the ratio 2:5

• (12, 1.6)

• (-1, 7.6)

• (-1, 6.6)

• (13, 1.6)