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Distance Between Two Points Worksheet

Grade 10 math worksheet focusing on calculating the distance between two points on a coordinate plane, including various problem types.

Grade 10 Math GeometryDistance Between Two Points
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Includes

Short AnswerMultiple ChoiceFill in the BlanksTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.9-10.G.GPE.B.7
7 sections · Free to use · Printable
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Distance Between Two Points

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Read each question carefully and show all your work. Use the distance formula to find the distance between the given points.

1. Find the distance between the points (3, 5) and (7, 8).

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

3. Which of the following is the distance between (0, 0) and (5, 12)?

a

10

b

13

c

15

d

17

4. The distance formula is derived from the   theorem.

5. The distance between two points (x1, y1) and (x2, y2) is given by D = √((x2 - x1)² + (y2 - y1)²). If x1 = x2, the distance simplifies to | |.

6. The distance between (1, 1) and (1, 5) is 4 units.

T

True

F

False

7. Plot the points A(-3, -2) and B(5, 4) on the coordinate plane below, then calculate the distance between them.

-7-5-3-11357-7-5-3-11357