Partitioning Line Segments

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.

The coordinates of the point P are:

• (1,5)

• (0,4)

• (3, 1)

• (-1, 1)

Tags

CCSS.HSG.GPE.B.6

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.

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

• 1/3

• 1/4

• 3/1

• 3/4

Tags

CCSS.HSG.GPE.B.6

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

• (3,2)

• (-3,3)

• (4,5)

• (6,7)

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)

The ratio is 3:1. How many parts are there?

• 2

• 3

• 4

• 5

How confident do you feel with partitioning?

• not at all - help me!

• not terrible, but I need more practice

• pretty good

• awesome, I'm ready to quiz and move on