Distance with Pythagorean Theorem

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Objective

I can find the distance between two points on a coordinate plane by using the Pythagorean Theorem.

Part 1 of 3

Warm-up video

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We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

2 questions

1

Two points on a coordinate plane are (1, 2) and (4, 6). a) Draw a right triangle where the line connecting the two points is the hypotenuse. b) What are the lengths of the legs of the right triangle? c) Use the Pythagorean Theorem to find the distance between the two points.

2

A map shows two locations: a park and a school. The park is located at coordinates (-3, 1) and the school is at (2, -4). What is the straight-line distance between the park and the school? Show your work using the Pythagorean Theorem.

Part 3 of 3

Exit ticket

Quick comprehension check

What is the distance between the points (1, 4) and (4, 8)? Show your work using the Pythagorean Theorem. What is the distance between the points (-2, 3) and (3, -9)? Show your work using the Pythagorean Theorem. What is the distance between the points (-5, -1) and (7, 4)? Show your work using the Pythagorean Theorem.

Sample answer included in the free materials

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