Geometry Medians and Altitudes

Geometry Medians and Altitudes

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

Multiple Choice

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

• 4
• 8
• 12
• Not Enough Information

Multiple Choice

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If PB = 3, then YB = _______

• 6
• 9
• 1.5
• 3

Multiple Choice

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

• 6
• 12
• 18
• Not Enough Information

Multiple Choice

BE = 15. Find EG.

• 10
• 5
• 22.5
• 20