Distance on the Coordinate Plane

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Objective

I can apply the Pythagorean Theorem to find the distance between two points on a coordinate plane.

Part 1 of 4

Warm-up video

IXL · 4:06

We don't generate video — this one is by IXL 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 4

Key concepts

3 concepts

  1. 1

    The distance between two points can be found by drawing a right triangle and using the Pythagorean theorem.

  2. 2

    The general distance formula is d = √ (x₂ - x₁)² + (y₂ - y₁)² , where d is the distance between the points (x₁, y₁) and (x₂, y₂).

  3. 3

    When using the distance formula, be careful to correctly substitute the values and remember that subtracting a negative number is the same as adding a positive number.

Part 3 of 4

Practice

10 questions

1

What is the first step in finding the distance between two points on a coordinate plane using the Pythagorean Theorem?

2

How do you find the horizontal distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Part 4 of 4

Exit ticket

Quick comprehension check

Find the distance between the points (1, 5) and (4, 9). Show all steps.

Sample answer included in the free materials

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