Median and Centroid in Geometry

Identify the special segment that's pictured: 

• Altitude
• Midsegment
• Median
• Angle Bisector

Which of the following describes a median of a triangle?

• A middle of the triangle.

• A segment with endpoints at the vertex and midpoint of the opposite side.

• A segment that connects two midpoints of two sides.

• A segment that connects the vertex and the opposite side at 90 degrees.

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

• Centerpoint

• Orthocenter

• Centroid

• Midpoint

The centroid is the point of intersection of the 3 ____ of a triangle. 

• Medians
• Midsegments
• Perpendicular Bisectors
• Angle Bisectos

A median of a triangle connects the ___________ of a side to the opposite vertex.

• midpoint
• right angle
• end point
• angle

AD = 12. Find AG

• 6
• 8
• 18
• 12

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

• 20
• 10
• 5
• Not Enough Information

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

• 16
• 32
• 48
• Not Enough Information

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

• 4
• 8
• 12
• Not Enough Information

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

• 6
• 12
• 18
• Not Enough Information