InkLoopInkLoop/NYS Standards/NY-G.GPE.6
NY-G.GPE.6
GeometryGeometric Properties with Equations60 target questions

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Sample Practice Questions (3)

1
On the coordinate plane, points and are shown. Which of the following points partitions the directed line segment in the ratio ?
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -5 -4 -3 -2 -1 1 2 3 4 5 x y AB A B
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
2
The coordinates of the endpoints of directed line segment are and . What are the coordinates of point that partitions the segment in the ratio ?
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x y A B
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
3
The coordinates of the endpoints of directed line segment are and , as shown in the graph below. Determine the coordinates of point that partitions the segment in the ratio .
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 x y A B
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
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