Midpoint of a Line Segment Worksheet

Practice finding the midpoint of line segments on a coordinate plane and applying the midpoint formula in various geometry problems.

Grade 10 Math GeometryMidpoint of a Line Segment

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2 Short AnswerFill in the BlanksMultiple ChoiceCustom

Standards

CCSS.MATH.CONTENT.HSA.REI.B.4CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

midpointgeometrycoordinate planegrade 10 math

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Midpoint of a Line Segment

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Read each question carefully and show all your work. Use the midpoint formula M = ((x1 + x2)/2, (y1 + y2)/2) where necessary.

1. Find the midpoint of the line segment with endpoints (5, -3) and (-1, 7).

2. Calculate the midpoint of the line segment connecting (0, 0) and (8, 4).

3. If the midpoint of a line segment is (2, 5) and one endpoint is (6, 1), the other endpoint is ( , ).

4. A line segment has an endpoint at (-4, 2) and its midpoint is (1, -3). The coordinates of the other endpoint are ( , ).

5. Which of the following is the midpoint of a line segment with endpoints ( -2, 9) and (4, -1)?

(1, 4)

(2, 8)

(-3, 5)

(6, -10)

6. Plot the points A(-3, 5) and B(5, -1) on the coordinate plane below. Then, find the midpoint of the line segment AB and label it M.

7. A square has vertices at (0, 0), (6, 0), (6, 6), and (0, 6). Find the midpoint of its diagonal connecting (0, 0) and (6, 6). What do you notice about the midpoints of the diagonals of a square?