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Distance Between Two Points Worksheet

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

Grade 11 Math GeometryDistance Between Two Points
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Includes

Fill in the BlanksShort AnswerMultiple ChoiceTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6

Topics

mathgeometrydistance formulacoordinate planegrade 11
7 sections · Free to use · Printable
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Distance Between Two Points

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

1. The distance formula is derived from the   theorem.

2. To find the distance between two points (x₁, y₁) and (x₂, y₂), you use the formula: d = √((x₂ - x₁)² + (y₂ - y₁)²) which is also known as the   formula.

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

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

1. Which of the following is the correct distance between (1, 2) and (4, 6)?

a

√7

b

5

c

7

d

√13

1. The distance between two points is always a positive value.

T

True

F

False

1. A triangle has vertices at A(1, 1), B(5, 1), and C(3, 4). Calculate the perimeter of the triangle.