Ratio of Direct Segment

Compares two numbers using division

• ratio

• mean

• median

• volume

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

• (12, 1.6)

• (-1, 7.6)

• (-1, 6.6)

• (13, 1.6)

Find the coordinates of point P that partitions segment AB into a ratio of 2:1.

• (2, 1)

• (1, 2)

• (1, -1)

• None of the above

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)

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.

• (1,5)

• (0,4)

• (3, 1)

• (-1, 1)

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.

• (5, 2)

• (9, -6)

• (1, 2)

• (9, 2)

Partition a line segment of length 63cm in the ratio 2:7. What are the two different segment lengths?

• 20 cm and 43 cm

• 15 cm and 48 cm

• 14cm and 49 cm

• 30 cm and 33 cm