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Distance on the Coordinate Plane

Grade 10 math worksheet focusing on calculating the distance between two points on a coordinate plane using the distance formula.

Grade 10 Math GeometryDistance on the Coordinate Plane
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2 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.APR.B.2CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

mathgeometrycoordinate planedistance formulagrade 10
6 sections · Free to use · Printable
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Distance on the Coordinate Plane

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Read each question carefully and calculate the distance between the given points on the coordinate plane. Show all your work.

1. Find the distance between the points (2, 3) and (5, 7).

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

3. Which of the following represents the distance between points A(0,0) and B(3,4)?

a

3

b

4

c

5

d

7

4. The distance between (1, -2) and (1, 8) is:

a

6

b

8

c

10

d

12

5. The distance formula is derived from the   theorem.

6. When two points have the same x-coordinate, the distance between them is the absolute difference of their  -coordinates.

7. A triangle has vertices at A(1,1), B(4,1), and C(1,5). Find the perimeter of the triangle.

8. Plot the points P(-3,2) and Q(4,-1) on the coordinate plane below and then calculate the distance between them.

-5-4-3-2-112345-5-4-3-2-112345