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 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) $$\sqrt{41}$$