About Distance Formula:

The Pythagorean Theorem describes the relationship between the lengths of the legs and the hypotenuse in a right triangle. By applying this theorem, we can derive the distance formula, which allows us to calculate the distance between any two points on the Cartesian Coordinate Plane.
Note: For the generate new test option, you will need to be able to simplify a square root, which is covered in the next lesson. Fortunately, it's a very quick process to learn. You can always skip this for now and come back if you are having trouble. The original practice test does not require you to simplify a square root.


Test Objectives
  • Demonstrate an understanding of the Pythagorean Theorem
  • Demonstrate the ability to set up the distance formula
  • Demonstrate the ability to find the distance between two points
Distance Formula Practice Test:

#1:

Instructions: Find the distance between each pair of points.

a) $$(-2,1),(-6,1)$$


#2:

Instructions: Find the distance between each pair of points.

a) $$(3,5),(4,-3)$$


#3:

Instructions: Find the distance between each pair of points.

a) $$(6,-8),(6,8)$$


#4:

Instructions: Find the distance between each pair of points.

a) $$(8,-4),(6,-7)$$


#5:

Instructions: Find the distance between each pair of points.

a) $$(2,-3),(-3,1)$$


Written Solutions:

#1:

Solutions:

a) $$4$$


#2:

Solutions:

a) $$\sqrt{65}$$


#3:

Solutions:

a) $$16$$


#4:

Solutions:

a) $$\sqrt{13}$$


#5:

Solutions:

a) $$\sqrt{41}$$