Partitioning Segments in Given Ratios

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

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.

For the above problem, what is the value for the coordinates represented by (x₂ - x₁) and (y_{2 -} y₁)_?

• (6, 12)

• (6, 16)

• (8, 12)

• (8, 12)

Tags

CCSS.HSG.GPE.B.6

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

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.

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

• 1/2

• 2/3

• 1/3

• 2/1

Tags

CCSS.HSG.GPE.B.6

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.

For the above problem, what are the coordinates represented by (x₂ - x₁) and (y₂ - y₁)?

• (5, 2)

• (9, -6)

• (5, -6)

• (9, 2)

Tags

CCSS.HSG.GPE.B.6

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)

Tags

CCSS.HSG.GPE.B.6

Number Line Problem:

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

Tags

CCSS.HSG.GPE.B.6

Number Line Problem:

Find the point B that will divide the segment AC in a 4:1 ratio. Point A is at -3 and Point C is at 7.

• 5

• -1

• 1

• 3

Tags

CCSS.HSG.GPE.B.6