Midpoint of a Line Segment Worksheet

Practice finding the midpoint of line segments on a coordinate plane and applying the midpoint formula.

Grade 9 Math GeometryMidpoint of a Line Segment

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3 Short AnswerCustomFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSG.GPE.B.7

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Midpoint of a Line Segment

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Read each question carefully and show all your work. Use the coordinate plane provided for plotting points where necessary.

1. State the midpoint formula for a line segment with endpoints (x₁, y₁) and (x₂, y₂).

2. Find the midpoint of the line segment with endpoints (3, 5) and (7, 9).

3. Plot the points A(-4, 2) and B(6, -4) on the coordinate plane below. Then, find the midpoint of segment AB and plot it.

Midpoint of AB:

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

5. Which of the following is the midpoint of the segment connecting (0, 0) and (10, 8)?

(5, 4)

(10, 8)

(0, 0)

(2, 2)

6. A line segment has endpoints (x, -2) and (4, y). If its midpoint is (3, 5), find the values of x and y.