Line Segment Partition

Given line AB with A(8, -4) and B(-6, -11), if P partitions AB such that the ratio of AP to AB is 2:7, find the coordinates of P.

Tags

CCSS.HSG.GPE.B.6

Given that line WY with W(3,7) and Y(13,-8), if point X partitions WY such that the ratio of WX to XY is 3:2 find the coordinates of X.

Tags

CCSS.HSG.GPE.B.6

Given the points C(-1,-5) and D(-7,11), find the coordinates of point E on line CD such that the ratio of CE to ED is 5:3.

Tags

CCSS.HSG.GPE.B.6

Given the the points R(6,-2) and T(-9,-7), find the coordinates of point S on line RT such that RS to ST is 3:2.

Tags

CCSS.HSG.GPE.B.6

Given the points J(4,-7) and L(-2,13), find the coordinates of point K on line JL such that the ratio of JK to JL is 1:4.

Tags

CCSS.HSG.GPE.B.6

Given the line XZ with X(1,9) and Z(5,-11), if Y is collinear to line XZ such that the ratio of XY to YZ is 1:3, find the coordinates of point Y.

Tags

CCSS.HSG.GPE.B.6

Directed line segment AB is partitioned by P such that AP to PB is a ratio of 1:3. Which of the following represent this relationship?

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Tags

CCSS.HSG.GPE.B.6

Directed line segment AB is partitioned by point P such that AP to PB is a ratio of 1:4. Which of the following represent this relationship?

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Tags

CCSS.HSG.GPE.B.6

Determine the coordinate of P that partitions JK such that JP to PK is at a ratio of 1:1

• (-3,3)

• (1,3)

• (-1,3)

• (2, 2.5)

Tags

CCSS.HSG.GPE.B.6

Find P, so that AP to AB so that the ratio is two sevenths. 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