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Distance Formula and Pythagorean Theorem

Distance Formula and Pythagorean Theorem

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Easy

Created by

Thomas White

Used 10+ times

FREE Resource

Professor Dave introduces the distance formula, explaining its connection to the Pythagorean Theorem. He demonstrates how to construct a right triangle on a coordinate plane to derive the formula. By labeling the hypotenuse as D and using the differences in x and y coordinates, the formula is derived. An example is provided to illustrate the application of the formula, showing how to calculate the distance between two points. The video concludes with a comprehension check.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of the distance formula?

To find the area of a triangle

To calculate the slope of a line

To find the midpoint between two points

To determine the distance between two points

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which mathematical theorem is essential for deriving the distance formula?

The Pythagorean Theorem

The Binomial Theorem

The Quadratic Formula

The Fundamental Theorem of Calculus

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape is constructed to help find the distance between two points?

A square

A right triangle

A rectangle

A circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the distance formula, what does the hypotenuse represent?

The midpoint of the line segment

The sum of the x-coordinates

The distance between two points

The difference in y-coordinates

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the length of the horizontal leg in the right triangle?

Y2 - Y1

X2 - X1

Y1 + Y2

X1 + X2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in deriving the distance formula?

Multiplying the coordinates

Taking the square root of the sum of squares

Subtracting the coordinates

Adding the x and y coordinates

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example problem, what are the coordinates of the first point?

(2, 5)

(-2, 2)

(1, 1)

(0, 0)

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