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Distance on the Coordinate Plane

Practice calculating the distance between two points on a coordinate plane using the distance formula.

Grade 11 Math GeometryDistance on the Coordinate Plane
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.9-12.G.GPE.B.7

Topics

mathgeometrycoordinate planedistance formulagrade 11
7 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 A(2, 3) and B(5, 7).

2. The distance formula is given by d = √((x2 - x1)² + (y2 - y1)²). If point P is at (-1, 4) and point Q is at (3, 1), then (x2 - x1) is   and (y2 - y1) is  , making the distance  .

3. Which of the following represents the distance between the points (0, 0) and (6, 8)?

a

10

b

14

c

√100

d

Both a and c

4. Plot the points C(-3, -2) and D(4, 3) on the coordinate plane below. Then, calculate the distance between them.

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

5. The distance between two points (x1, y1) and (x2, y2) can be negative.

T

True

F

False