Segment Partitions

Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5

• (12, 1.6)

• (-1, 7.6)

• (-1, 6.6)

• (13, 1.6)

Tags

CCSS.HSG.GPE.B.6

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

• (3.75, 2.5)

• (3.75, 3.5)

• (4.75, 1.5)

• (5.75, 1.5)

Tags

CCSS.HSG.GPE.B.6

Find the point P that partitions the line segment AB given the ratio.

• (3.75, 2.5)

• (3.25, 4.5)

• (4.75, 1.5)

• (5.75, 1.5)

Tags

CCSS.HSG.GPE.B.6

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

• (-1, 2)

• (0, 0)

Tags

CCSS.HSG.GPE.B.6

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3. 

• (1,5)

• (3,7)

• (4,4)

• (5,8)

Tags

CCSS.HSG.GPE.B.6

Find P, so that AP is two-sevenths of PB. A is a (-5, 8) and B is at (9, 3).

• (12, 11/7)

• (-1, 53/7)

• (-1, 46/7)

• (13, 11/7)

Tags

CCSS.HSG.GPE.B.6

Find P, so that AP is three-elevenths of PB. Given the A (-6, -6) and B(-2, 1).

• (-54/11, 32/11)

• (-10/11, 32/11)

• (-54/11, -1/11)

• (-54/11, -45/11)

Tags

CCSS.HSG.GPE.B.6

Find the point that is 3/4 of the distance from Y to X.

• (-6, -2)

• (2, -4)

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 that partitions AB in a the ratio 1:2. 

• (3,1)

• (4,3)

• (1,2)

• (0,1)

Tags

CCSS.HSG.GPE.B.6

Find P, so that AP is one-fifths of PB. Given A (7, -2) and B(4, 0).

• (32/5, -8/5)

• (32/5, 22/5)

• (17/5, 2/5)

• (-13/5, 2/5)

Tags

CCSS.HSG.GPE.B.6