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Distance and Midpoint Formula Worksheet

A Grade 12 math worksheet covering the distance and midpoint formulas with coordinate geometry problems.

Grade 12 Math GeometryDistance and Midpoint
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Includes

3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSG.GPE.B.7
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Distance and Midpoint Formula Worksheet

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Read each question carefully and show all your work. Use the provided space for your answers.

1. Find the distance between the points (3, -2) and (-5, 4).

2. Calculate the distance between the points (0, 7) and (12, 2).

3. Determine the midpoint of the line segment connecting (4, 6) and (8, -2).

4. What is the midpoint of the segment with endpoints (-10, 1) and (4, 9)?

5. Which of the following is the distance between points A(1, 1) and B(4, 5)?

a

3 units

b

4 units

c

5 units

d

6 units

6. The midpoint of a segment is (2, 3). If one endpoint is (0, 0), what is the other endpoint?

a

(1, 1.5)

b

(4, 6)

c

(2, 3)

d

( -2, -3)

7. The distance formula is derived from the   theorem.

8. The midpoint formula calculates the   of a line segment.

9. A triangle has vertices at A(1, 2), B(4, 2), and C(1, 6). Calculate the perimeter of the triangle.

10. The center of a circle is at (5, -1) and a point on the circle is (1, 2). Find the radius of the circle.