Partition Geometry

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 (-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.

• (3.75, 2.5)

• (3.25, 4.5)

• (4.75, 1.5)

• (5.75, 1.5)

Find P, so that AP is two-sevenths of PB. A is a (-5, 8) and B is at (9, 3).

• (12, 11/7)

• (-1, 53/7)

• (-1, 46/7)

• (13, 11/7)

What is the midpoint between (8, -3) and (2, 5)

• (5, 1)

• (10, 2)

• (-5, -1)

• (3, 4)

What is the endpoint of the line segment if the other endpoint is (5, 1) and the midpoint is (3, 3)?

• (1, 5)

• (3, 3)

• (5, 1)

• None of the above

Which point represents the given partition between the points below: (-2, 6) and (7, 9) 1:2

• (1.5, 7)

• (2.5, 7.5)

• (1, 7)

• (1, 8)

Point M divides AB so that AM:MB = 1:2. If A has coordinates (-1, -3) and B has coordinates (8,9), find the coordinates of M.

• (2, 1)

• (5/3, 0)

• (5, 5)

• (23/3, 8)

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A = 2 and B = 8.

• P = 7

• P = 9

• P = -3

• P = 5