Geometry 6.4 Triangle Midsegment Theorem

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OFF

Answer explanation

Find the slope of each segment. Rise over run. Their slope is -3

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CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

Mathematical Equivalence

ON

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CCSS.HSG.CO.C.10

Mathematical Equivalence

ON

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CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Mathematical Equivalence

OFF

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CCSS.HSG.CO.C.10

Mathematical Equivalence

OFF

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.C.10

Mathematical Equivalence

OFF

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSG.CO.C.10

Mathematical Equivalence

OFF

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSG.CO.C.10

Your friend claims that because each midsegment is half as long as the corresponding side of the triangle, the perimeter of the midsegment triangle is half the perimeter of the original triangle. Is your friend correct? Explain.

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Answer explanation

Yes. Since each length is half as long as the corresponding side, after we add them all up, it will be half the total perimeter.

Tags

CCSS.HSG.CO.C.10