Grade 12 Midpoint Formula Worksheet

A Grade 12 mathematics worksheet focusing on the midpoint formula, including calculation, finding missing coordinates, and application in geometric problems.

Grade 12 Math GeometryMidpoint Formula

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSG.GPE.B.7

8 sections · Free to use · Printable

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Midpoint Formula Practice

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

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

2. Calculate the midpoint of the segment connecting (12, -1) and (0, 15).

3. The midpoint of a segment is (2, 5). One endpoint is (8, 3). The other endpoint is ( , ).

4. If M = (-4, 6) is the midpoint of AB, and A = (-10, 2), then the coordinates of B are ( , ).

5. Which of the following is the midpoint of the segment with endpoints (x, y) and (-x, y)?

(0, 2y)

(x, 0)

(0, y)

(2x, 0)

6. The midpoint formula can only be used for horizontal or vertical line segments.

True

False

7. A circle has its center at the midpoint of the diameter whose endpoints are (1, 8) and (7, 2). Find the coordinates of the center of the circle.

8. Plot the points A(-3, 4) and B(5, -2) on the coordinate plane below. Then, calculate and plot their midpoint M.