About Distance Formula:

The Pythagorean Theorem tells us about the relationship between the legs in a right triangle. We can take this information and develop a "distance formula" that enables us to find the distance between any two points on the Cartesian coordinate plane.


Test Objectives
  • Demonstrate an understanding of the Pythagorean Theorem
  • Demonstrate the ability to setup 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) $$\sqrt{41}$$