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The Distance Formula Test
About The 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

The Distance Formula Test:




#1:


Instructions: Find the distance between each pair of points.


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


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#2:


Instructions: Find the distance between each pair of points.


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


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#3:


Instructions: Find the distance between each pair of points.


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


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#4:


Instructions: Find the distance between each pair of points.


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


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#5:


Instructions: Find the distance between each pair of points.


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


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Written Solutions:




#1:


Solution:


a) 4


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#2:


Solution:


a) $$\sqrt{65}$$

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#3:


Solution:


a) 20


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#4:


Solution:


a) $$\sqrt{13}$$

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#5:


Solution:


a) $$\sqrt{41}$$

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