Distance Between Two Points

This worksheet focuses on calculating the distance between two points on a coordinate plane, including horizontal, vertical, and diagonal distances.

Grade 7 Math GeometryDistance Between Two Points

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Includes

TextGraphmultiple-choiceShort Answer

Standards

CCSS.MATH.CONTENT.7.G.A.1CCSS.MATH.CONTENT.7.G.B.6

Topics

mathgeometrydistancecoordinate planegrade 7

6 sections · Free to use · Printable

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Distance Between Two Points

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Follow the instructions for each section. Show all your work when calculating distances.

Part 1: Horizontal and Vertical Distance

Calculate the horizontal or vertical distance between the given points.

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

2. What is the distance between (-4, 1) and (6, 1)?

Part 2: Plotting Points and Distance

Plot the given points on the coordinate plane and then find the distance between them.

1. Plot points A(3, 4) and B(-2, 4). What is the distance between A and B?

Part 3: Multiple Choice

Choose the best answer for each question.

1. Which formula is used to find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

d = |x2 - x1|

d = |y2 - y1|

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = (x1 + x2) / 2

2. What is the distance between (0, 0) and (3, 4)?

3 units

4 units

5 units

7 units

Part 4: Short Answer

Answer the following questions, showing your work.

1. A park is located at (1, 2) and a library is located at (7, 10) on a map. If each unit on the map represents 1 kilometer, what is the straight-line distance between the park and the library?