Midpoint and Partitioning a Directed Line Segment

Determine the coordinate of P that partitions JK at a ratio of 1:1

• (-3,3)

• (1,3)

• (-1,3)

• (2, 2.5)

Tags

CCSS.HSG.GPE.B.6

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 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

What is the midpoint between (8, -3) and (2, 5)

• (5, 1)

• (10, 2)

• (-5, -1)

• (3, 4)

Tags

CCSS.HSG.GPE.B.6

Determine the ratio of the directed line segment AB when partitioned by point P.

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

Tags

CCSS.HSG.GPE.B.6

Determine the ratio of the directed line segment AB when partitioned by point P.

• 1:2

• 2:1

• 1:1

• 3:1

• 1:4

Tags

CCSS.HSG.GPE.B.6

Find the point C that breaks the directed segment AB in to a ratio of 1:1 Write your answer in the coordinate form (x, y)

• (-2, 1)

• (-1, -0.5)

• (-1, -1)

• (-0.5, -1)

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. 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