Segments and Measures of Center in Triangles

Which center of a triangle is shown in the picture below?

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.CO.C.10

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CCSS.8.G.A.5

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CCSS.8.G.A.5

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CCSS.8.G.A.5

 The incenter of a triangle is the point of concurrency of the ​ (a)   of a triangle.

 The circumcenter of a triangle is the point of concurrency of the ​ (b)   of a triangle.

 The centroid of a triangle is the point of concurrency of the ​ (c)   of a triangle.

The orthocenter of a triangle is the point of concurrency of the ​ ​ (d)   of a triangle.

• angle bisectors

• perpendicular bisectors of each side

• medians

• altitudes

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CCSS.HSG.C.A.3

Find the missing length.

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CCSS.HSG.SRT.B.4

Solve for x and plug it in!

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CCSS.HSG.CO.C.9

Solve for x and plug it back in for both segments.

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CCSS.HSG.CO.C.10

Find the value of x.

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CCSS.HSG.C.A.3

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

Tags

CCSS.HSG.CO.C.10