Distance Formula Practice

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

Grade 8 Math GeometryDistance Formula

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Includes

Text3 Short AnswerMultiple ChoiceTrue / FalseFill in the BlanksCustom

Standards

CCSS.MATH.CONTENT.8.G.B.8

Topics

mathgeometrydistance formulagrade 8

10 sections · Free to use · Printable

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Distance Formula Practice

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

The distance formula is derived from the Pythagorean theorem and is used to find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

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

2. Calculate the distance between the points (-4, 1) and (2, 9).

3. The coordinates of two points are (0, -5) and (6, 3). What is the distance between them?

4. Which of the following represents the distance between points P(1, -2) and Q(4, 2)?

√7

√13

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

True

False

6. The distance formula is derived from the theorem.

7. When using the distance formula, you are essentially finding the length of the of a right triangle.

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