Exploring the Distance and Midpoint Formulas

What is the first step in using the distance formula?

• Add the x-values

• Subtract the x-values

• Take the square root of the sum

• Square the y-values

In the distance formula, what operation is performed after subtracting the x-values and y-values?

• Multiply them

• Square each result

• Divide by 2

• Add them together

What is the distance between the points (-4, 4) and (5, -2) in simplified radical form?

• 3√13 units

• √117 units

• 9 units

• 13 units

What is the midpoint formula used to find?

• The area of the triangle formed by two points

• The slope of the line connecting two points

• The point exactly halfway between two points

• The distance between two points

How do you calculate the x-coordinate of the midpoint between two points?

• Square the x-values and divide by 2

• Multiply the x-values and divide by 2

• Add the x-values and divide by 2

• Subtract the x-values and divide by 2

What is the midpoint between the points (-4, 4) and (5, -2)?

• (0, 0)

• (1, 1)

• (0.5, 1)

• (1, 0.5)

How is the distance formula related to the Pythagorean theorem?

• It is the Pythagorean theorem unfolded

• It is unrelated to the Pythagorean theorem

• It is a simplified version of the Pythagorean theorem

• It is the same as the Pythagorean theorem but for three dimensions

What is the distance from point A (-2, -3) to point B (2, -2)?

• √17

• 2√17

• √68

• √85

What is the midpoint between points B (2, -2) and C (2, 5)?

• (0, -2.5)

• (0, 0)

• (2, 1.5)

• (2, 1.5)

How can you verify if three points form a right triangle?

• By checking if the sum of the squares of two sides equals the square of the third side

• By using the distance formula alone

• By calculating the area of the triangle

• By finding the midpoint of each side