Distance and Midpoints Quiz (5 Questions)

1. Find the distance between points (1,2) and (4,6).

2. Find the midpoint of points (3,5) and (7,9).

3. True or False: The distance formula comes from the Pythagorean Theorem.

4. Find the distance between points (-1,-2) and (3,2).

5. Give a real-world example of using the distance formula.

Answer Key

1. d = sqrt{(4-1)^2 + (6-2)^2} = sqrt{9+16} = sqrt{25} = 5

2. M = ( {3+7}/{2}, {5+9}/{2} ) = (5,7)

3. True

4. d = sqrt{(3-(-1))^2 + (2-(-2))^2} = sqrt{16+16} = sqrt{32} = 4sqrt{2}​

5. GPS distances, navigation, map measurements, robotics, etc.