The Distance Formula: Finding the Distance Between Two Points

The Distance Formula: Finding the Distance Between Two Points

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the distance formula, which is used to find the distance between two points on a coordinate plane. It begins by introducing the concept and its relation to the Pythagorean theorem. The tutorial then derives the formula by constructing a right triangle and using the theorem to solve for the hypotenuse, which represents the distance. An example is provided to demonstrate how to apply the formula using specific coordinates. The video concludes with a summary and a comprehension check to reinforce learning.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the hypotenuse in the context of the distance formula?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you express the legs of the triangle in terms of the coordinates of the points?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of using the Pythagorean theorem to find the distance between two points.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the distance formula derived from?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Calculate the distance between the points (-2, 2) and (2, 5) using the distance formula.

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