Distance Formula, Equation of Circle, Midpoint

Over the last two weeks we have reviewed 3 applications where the x and y coordinates are key. The slope formula is another application. What are the 3 applications we have already covered that involve the x and y coordinates? Check the 3 correct answers.

• Pythagorean Theorem

• Distance Formula

• Equation of a Circle

• Midpoint Formula

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CCSS.HSG.GPE.B.7

Which equation could you use to write the equation of a circle in standard form?

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CCSS.HSG.GPE.A.1

Which equation allows you to find the midpoint of a line segment on a coordinate plane?

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CCSS.HSG.GPE.B.6

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

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CCSS.HSG.GPE.B.7

• (2,7)

• (-7, 8.5)

• (-16,10)

• (-14,17)

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CCSS.HSG.GPE.B.6

• a

• b

• c

• d

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CCSS.HSG.GPE.B.6

The midpoint formula is

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CCSS.HSG.GPE.B.6

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

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CCSS.HSG.GPE.B.6

What formula is shown?

• slope

• distance

• midpoint

• Pythagorean Theorm

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CCSS.HSG.GPE.B.7

What is the midpoint between (-4,4) and (-2,2)?

• (3,2)

• (-3,3)

• (4,5)

• (6,7)

Tags

CCSS.HSG.GPE.B.6