Medians and Midsegments of Triangles

Which of the following describes a median of a triangle?

• A. A middle of the triangle.
• B. A segment with endpoints at the vertex and midpoint of the opposite side.
• C. A segment that connects two midpoints of two sides.
• D. A segment that connects the vertex and the opposite side at 90 degrees. 

Tags

CCSS.HSG.CO.C.10

Which of the following words describes the point shown in the figure?

• A. Centerpoint
• B. Orthocenter
• C. Centroid
• D. Midpoint

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

• 20
• 10
• 5
• Not Enough Information

Tags

CCSS.HSG.CO.C.10

If G is the centroid of triangle ABC and AC= 32. Find the length of CE.

• 16
• 32
• 48
• Not Enough Information

Tags

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

Tags

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

Tags

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

Tags

CCSS.HSG.CO.C.10

AD = 12. Find AG

• 6
• 8
• 18
• 12

Tags

CCSS.HSG.CO.C.10

BE = 15. Find EG.

• 10
• 5
• 22.5
• 20

Tags

CCSS.HSG.CO.C.10

• 37
• 30
• 14
• 17.5

Tags

CCSS.HSG.SRT.B.4