Understanding the Distance Formula

What is the primary purpose of using the distance formula in geometry?

• To find the area of a triangle

• To calculate the length of a segment

• To find the midpoint of a segment

• To determine the slope of a line

Which of the following represents the correct distance formula?

• Square root of (X2 - X1)^2 + (Y2 - Y1)^2

• (X2 - X1) + (Y2 - Y1)

• (X2 + X1)^2 + (Y2 + Y1)^2

• Square root of (X2 + X1)^2 - (Y2 + Y1)^2

What is the length of segment AB if X1 = 2, X2 = 6, Y1 = 2, and Y2 = 5?

• 3 units

• 4 units

• 5 units

• 6 units

How do you calculate the length of segment CD if X1 = 1, X2 = 7, Y1 = 5, and Y2 = -3?

• Square root of 36 + 81

• Square root of 49 + 81

• Square root of 49 + 64

• Square root of 36 + 64

What is the length of segment CD given the calculations in the video?

• 5 units

• 12 units

• 8 units

• 10 units