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
The Distance Formula 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:
Solution:
a) 4
Solution:
i) $$\sqrt{65}$$
Watch the Step by Step Video SolutionSolution:
a) 20
Solution:
i) $$\sqrt{13}$$
Watch the Step by Step Video SolutionSolution:
i) $$\sqrt{41}$$
Watch the Step by Step Video Solution