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Points that Partition Segments
Points that Partition Segments
In this practice set, you will solve problems 
related to Midpoints and other points that 
partition line segments.
midpoint
The formula for the midpoint between two points with coordinates (x1, y1) & (x2, y2) is shown.
Part 1: Midpoints
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Midpoint
(        ,        )
Line segment AB is shown.  What are the coordinates of the midpoint of AB?Write the coordinates as an ordered pair (x, y).
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Midpoint
(         ,         )
Line segment AB is shown.  What are the coordinates of the midpoint of AB?Write the coordinates as an ordered pair (x, y).
(-5,4)
(3,5)
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Endpoint B
(        ,        )
Points A and M are shown in the diagram.M is the midpoint of segment AB.Write the coordinates of point B, the other endpoint of AB.
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Points M and B are shown in the diagram..M is the midpoint of segment AB.Write the coordinates of point A, the other endpoint of AB.
Endpoint A
(        ,        )
The coordinates of points A and B are given.
M is the midpoint of segment AB.
Write the coordinates of point M, the midpoint of AB.
Point A
(-8, 5)
(      ,      )
Point M:
Point B
(-4, 7)
The coordinates of points A and M are given.
M is the midpoint of segment AB.
Write the coordinates of point B, the endpoint of AB.
Point A
(-4, -1)
(-1, -6)
Point M
(      ,      )
Point B:
The coordinates of points B and M are given.
M is the midpoint of segment AB.
Write the coordinates of point A, the endpoint of AB.
(      ,      )
Point A:
Point M
(-7, 1)
(-3, 6)
Point B:
Part 2:  Other Points that Partition Segments
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Segment FG is shown on the coordinate plane. Point P is on segment FG and will partition segment FGso that GP is twice the length of PF.What are the coordinates of point P?
P(       ,       )
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Segment DE is shown on the coordinate plane. Point P will be placed on segment DE so that DP is three times the length of PE.What are the coordinates of point P?
P(      ,       )
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Segment AB is shown on the coordinate plane. Point P will be placed on segment AB so that BP is one-half the length of PA.What are the coordinates of point P?
P(      ,       )
Students who took this test also took :
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Parallel Lines and Transversals Vocabulary & Practice
Algebraic Proofs and Intro to Geometric Proofs
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