Medians, Altitudes, Perpendicular Bisectors, Angle Bisectors

Identify the Point of Concurrency

• Circumcenter

• Incenter

• Orthocenter

• Centroid

4. Name of the segment of a triangle drawn from any vertex to the midpoint of the opposite side?

• altitude

• perpendicular bisector

• median

• midsegment

Which line is an angle bisector?

• XY

• BY

• AZ

• XC

Triangle ABC has a median of AD where the centroid is labeled Y.  If AY = 18, find the length of YD and AD in that order.

• 6 and 12

• 9 and 27

• 36 and 54

• 18 and 36

Triangle ABC has a median of BE where Y is the centroid. BE = 30, find the length of BY and YE in that order

• 15 and 45

• 45 and 15

• 10 and 20

• 20 and 10

What is the point of concurrency of the perpendicular bisectors of a triangle?

• Circumcenter

• incenter

• orthocenter

• centroid

What is the point of concurrency for the median of a triangle?

• circumcenter

• centroid

• incenter

• orthocenter

These types of lines do NOT have to go through the vertex?

• altitudes

• median

• angle bisectors

• perpendicular bisectors

5. A segment drawn from the vertex perpendicular to the opposite side is called a....

• median

• perpendicular bisector

• altitude

• angle bisector

The point of concurrency of ANGLE BISECTORS is....

• equidistant from the vertices

• outside the triangle

• called the circum center

• equidistant from the sides of the angle