Finding a Point

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.

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

Tags

CCSS.HSG.GPE.B.6

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

The coordinates of point P are:

• (7,9)

• (9,7)

• (-3,9)

• (5,1)

Tags

CCSS.HSG.GPE.B.6

Find the point P that partitions the line segment BA given the ratio. A(4, 3) B(3, 5) with the ratio 3:1 The coordinates of point P are:

• (15/4, 5/2)

• (15/4, 7/2)

• (19/4, 3/2)

• (23/4, 3/2)

Tags

CCSS.HSG.GPE.B.6

Find C that divides the line segment DE from D(0, 3) to E(16, -21) into the ratio 2:6?

Point C has the coordinates:

• (4, -3)

• (2, -3)

• (12, -15)

• (5, -3)

Tags

CCSS.HSG.GPE.B.6

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

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

Find the point C that will divide the segment EF in a 2:3 ratio. Point E is at -4 and Point F is at 6.

• -8

• -6

• 0

• 2

Tags

CCSS.HSG.GPE.B.6

Find the point P that will divide the segment RS in a 1:6 ratio. Point R is at -8 and Point S is at 6.

• -8

• -6

• 0

• 2

Tags

CCSS.HSG.GPE.B.6

Find the point Y that will divide the segment XZ in a 2:5 ratio. Point X is at -4 and Point Z is at 12.

• -2/3

• -6/7

• 1/2

• 4/7

Tags

CCSS.HSG.GPE.B.6