The Distance Formula Test

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:

i) $$\sqrt{65}$$

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#3:

Solution:

a) 20

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#4:

Solution:

i) $$\sqrt{13}$$

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#5:

Solution:

i) $$\sqrt{41}$$

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