Exploring Distance and Midpoint Formulas

Why are the distance and midpoint formulas important in this class?

• They are used to calculate the volume of solids.

• They help in solving algebraic equations.

• They help in finding the area of shapes.

• They are used to find the distance and midpoint between two points.

How do you find the distance between two points on a number line?

• By subtracting the coordinates and taking the absolute value.

• By multiplying the coordinates of the points.

• By adding the coordinates of the points.

• By dividing the coordinates of the points.

What is the distance between points 6 and 13 on a number line?

• 13 units

• 6 units

• 7 units

• -7 units

Which theorem is used to find the distance between two points on a coordinate plane?

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

• Remainder theorem

What is the formula for the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

• sqrt((x2 / x1)^2 + (y2 / y1)^2)

• sqrt((x2 * x1)^2 + (y2 * y1)^2)

• sqrt((x2 + x1)^2 + (y2 + y1)^2)

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

What is the distance between points (4, 15) and (-2, 5) using the distance formula?

• 13.42 units

• 20.88 units

• 15.62 units

• 18.34 units

What is the midpoint formula for two points on a number line?

• (x1 + x2) / 2

• (x1 / x2) / 2

• (x1 - x2) / 2

• (x1 * x2) / 2

What is the midpoint between points 0 and 10 on a number line?

• 2

• 5

• 7

• 10

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

• ((x1 * x2) / 2, (y1 * y2) / 2)

• ((x1 + x2) / 2, (y1 + y2) / 2)

• ((x1 - x2) / 2, (y1 - y2) / 2)

• ((x1 / x2) / 2, (y1 / y2) / 2)

What is the midpoint between points (3, 7) and (-5, 20) on a coordinate plane?

• (-1, 13.5)

• (-6, 13.5)

• (0, 13.5)

• (1, 13.5)