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Distance on the Coordinate Plane

Calculate the distance between two points on a coordinate plane using the Pythagorean theorem.

Grade 7 Math GeometryDistance on the Coordinate Plane
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2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.G.B.8
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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 your work where applicable.

1. Plot the points A(2, 3) and B(5, 7) on the coordinate plane below. Then, calculate the distance between them.

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Distance:  

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

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

a

3 units

b

4 units

c

5 units

d

7 units

4. A square has vertices at (1, 1), (1, 5), (5, 5), and (5, 1). What is the perimeter of the square?

5. The distance between two points with the same x-coordinate can be found by subtracting their y-coordinates.

T

True

F

False