Centroid Theorem

Mathematical Equivalence

ON

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CCSS.HSG.CO.C.10

The figure is an example of a(n) ...

• angle bisector
• midsegment
• altitude
• median

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CCSS.HSG.CO.C.10

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

• Centroid
• Incenter
• Perpendicular Bisectors
• Altitude

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CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

• 4
• 8
• 12
• Not Enough Information

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CCSS.HSG.CO.C.10

The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.

• one third
• two thirds
• three fourths
• one half

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CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

• 6
• 12
• 18
• Not Enough Information

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CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and AG= 16. Find the length of GD.

• 8
• 16
• 24
• Not Enough Information

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CCSS.HSG.CO.C.10

• 11
• 22
• 5.5
• 3.67

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CCSS.HSG.CO.C.10

If TP=27, ZP=?

• 18

• 9

• 13.5

• 54

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CCSS.HSG.CO.C.10

G is the centroid of triangle ABC. BE = 15. Find EG.

• 10

• 5

• 22.5

• 20

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CCSS.HSG.CO.C.10