Median, Altitude

Identify AD as a median, altitude, neither, or both according to what can be proved.

• Median

• Altitude

• Neither

• Both

Which of the following segments represents a median?

• BX

• AZ

• AC

• BZ

Which of the following describes a median of a triangle?

• A segment that passes through the 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 describes an altitude of a triangle?

• A segment that passes through the 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. 

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

The figures above are examples of ...

• altitudes

• perpendicular bisectors

• medians

• angle bisectors

What type of lines are shown

• perpendicular bisectors

• medians

• altitudes

• angle bisectors

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

13. Which line is an altitude?

• XY

• BY

• AZ

• XC