Distance and Midpoint Formulas Challenge

This video tutorial introduces the distance formula derived from the Pythagorean theorem, explaining how to calculate the length of a line segment using coordinate points. It provides a detailed walkthrough of finding the distance between two points and calculating the midpoint of a line segment. The tutorial emphasizes labeling points and substituting values into formulas, ensuring a clear understanding of the process.

What is the origin of the distance formula?

• Slope formula

• Quadratic formula

• Pythagorean theorem

• Midpoint theorem

In the distance formula, what does 'D' represent?

• The change in Y

• One of the legs

• The change in X

• The hypotenuse

What should you do first when using the distance formula?

• Find the midpoint

• Calculate the slope

• Subtract the coordinates

• Label the points

What is the result of 2 minus negative 2 in the distance formula?

• 0

• 4

• 2

• -4

What is the square of 8 in the distance formula calculation?

• 64

• 16

• 32

• 8

What is the distance between points Y and Z if the square root of 100 is taken?

• 5

• 10

• 15

• 20

What is the midpoint of a line segment?

• The change in X

• The hypotenuse

• The middle point

• The change in Y

What is the formula for finding the midpoint?

• Divide the coordinates

• Subtract the coordinates

• Multiply the coordinates

• Add the coordinates and divide by 2

What is the midpoint of the line segment with endpoints (-2, -4) and (2, -6)?

• (0, -6)

• (0, -5)

• (2, -5)

• (-2, -5)

What is the result of adding -4 and -6 in the midpoint formula?

• -10

• 2

• 10

• -2