Bisectors, Medians & Altitudes

Point of Concurrency

• In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side

• Three or more lines that intersect at a common point.

• The point of intersection of concurrent lines

• The point of concurrency of the perpendicular bisectors of a triangle.

• The point of concurrency of the angle bisectors of a triangle.

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

• Medians
• Midsegments
• Perpendicular Bisectors
• Angle Bisectos

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the

• Midsegment
• Incenter
• Circumcenter
• Centriod

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

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

• angle bisector
• perpendicular bisector
• median
• midsegment

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

• angle bisector
• midsegment
• altitude
• median

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. 

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

• altitude 
• perpendicular bisector
• midsegment
• angle bisector

What type of special segments are being used?

• Perpendicular Bisectors

• Angle Bisectors

• Medians

• Altitudes

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

• Centerpoint

• Orthocenter

• Centroid

• Incenter