Midpoint and Partitioning a Directed Line Segment

What is the distance between the two points?

• 6.3

• 6.5

• 6.7

• 16

What is the MIDPOINT between (-4,4) and (-2,2)?

• (3,2)

• (-3,3)

• (4,5)

• (6,7)

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.

The coordinates for point P are:

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

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

• (3,1)

• (4,3)

• (1,2)

• (0,1)

Find the point M that will divide the segment PQ in a 2:5 ratio. Point P is at -10 and Point Q is at 4.

• -8

• -6

• 0

• 2

Luis works at a theater on 8th Avenue and 20th Street. Kaleb lives at the corner of 18th Avenue and 4th Street. What is a possible location that is midway between them?

• 9th Avenue & 11th Street

• 13th Avenue & 12th Street

• 16th Avenue & 9th Street

• 8th Avenue & 10th Street

Find the point P that partitions the line segment AB given the ratio.
A (7, -2) B(4, 0) with the ratio 1:4

• (32/5, -8/5)

• (32/5, 22/5)

• (17/5, 2/5)

• (-13/5, 2/5)

Find the coordinates of the point on the directed line segment from J to K that partitions JK in the ratio 2:1.

• (-1, -2)

• (1, 1)

• (-0.6, -1.4)

• (0.6, 0.4)

What is the midpoint between (3, -1) and (8, -6)

• (11, -7)

• (-5.5, -3.5)

• (5.5, -3.5)

• (2, -2)