Mathorio
Worksheet
The Distance Formula
Name:
Class:
Date:
Show your work for each problem.
- 1.What is the distance formula used to find?
- a)The area of a triangle
- b)The midpoint between two points
- c)The distance between two points on a coordinate plane
- d)The slope of a line
- 2.Find the distance between and .
- 3.Find the distance between and .
- 4.Find the distance between and .
- 5.Which theorem is the distance formula based on?
- a)Binomial theorem
- b)Pythagorean theorem
- c)Fundamental theorem of algebra
- d)Mean value theorem
- 6.Find the distance between and .
- 7.Find the distance between and .
- 8.What is the distance between and ?
- a)
- b)
- c)
- d)
- 9.Find the distance between and .
- 10.Find the distance between and .
- 11.Does the order of the points matter in the distance formula?
- a)Yes, but only for negative coordinates
- b)No, because squaring eliminates negative signs
- c)No, but the answer will be negative if reversed
- d)Yes, you must always go left to right
- 12.Find the distance between and .
- 13.Find the distance between and . Give your answer as a whole number or simplified square root.
- 14.A player is at position on a game grid. An enemy is at . If the player's attack range is 13 units, can they attack the enemy?
- 15.What is the distance between and ?
- a)
- b)
- c)
- d)
- 16.Find the distance between and .