Triangular Median

6.3 Medians and Altitudes of Triangles

by Mary Lett

​Objectives and Standards

• ​Students will be able to identify medians, altitudes, centroid, and orthocenter of a triangle and the relationships formed by these objects.

​HSG-CO.C.10: Prove theorems about triangles.

​Vocabulary

Multiple Choice

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

• angle bisector

• dotted line theorem

• altitude

• median

Multiple Choice

In ΔXYZ, YB, XC, and ZA are medians.

If YC= 10, then ZC = _______

• 15

• 5

• 20

• 10

Multiple Choice

Fill in the blank.
All three medians intersect at the point of concurrency called the ____________.

• Incenter
• Circumcenter
• Orthocenter
• Centroid

Multiple Choice

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

Multiple Choice

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.

If XP = 8, then PC = _______

• 2.7

• 12

• 5

• 4

​Vocabulary

Multiple Choice

Based on the picture, what point of concurrency is being used?

• Incenter

• Circumcenter

• Orthocenter

• Centroid

Multiple Choice

Which point is equidistant from the vertices?

• Circumcenter

• Incenter

• Centroid

• Orthocenter