Partitions of Line Segments

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

• (15/4, 5/2)

• (15/4, 7/2)

• (19/4, 3/2)

• (23/4, 3/2)

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 AP to PB having 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 DC with DP to PC having the ratio 2:5

• (-11/7, 22/7)

• (0,0)

• (-1, 2)

• (4/7, -8/7)

Tags

CCSS.HSG.GPE.B.6

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.

(a)  

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.

(a)  

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.

(a)  

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.

(a)  

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.

(a)  

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