Partitioning Line Segments

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(-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(-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. In the above problem, what is the value of a/(a+b)?

• 1/3

• 1/4

• 3/1

• 3/4

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.

The coordinates for point P are:

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

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 point that is 2/5 of the distance from C to D.

• (-1, 2)

• (0, 0)

• (1,-2)

• (-2,4)

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)

Is the ratio of the directed line segment AB the same as segment BA when partitioned by point P?

• Yes

• No

Find the point C that breaks the directed segment AB in to a ratio of 1:2

Write your answer in the coordinate form (x, y)