Midsegment Theorem, Perpendicular Bisector Theorem and Angle Bisector Theorem

Which of the following describes a perpendicular bisector of a triangle?

• A segment that is perpendicular to the side of a triangle at its midpoint.

• 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 CIRCUMCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

If AF = 10x-3, and FC = 8x+3, what is AC?

• 3

• 6

• 27

• 54

If BC is 18, what is DC?

• 6

• 9

• 12

• 18

If GC is 11, what is AG?

• 11

• 9

• cannot determine

• 5.5

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

• Midsegment

• Incenter

• Circumcenter

• Centroid

The three perpendicular bisectors of a triangle intersect at the?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

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

• altitude 

• perpendicular bisector

• midsegment

• angle bisector

Find the length of PO.

• 32

• 35

• 26

• 29

What type of special segments are being used?

• Altitudes

• Perpendicular Bisectors

• Medians

• Angle Bisectors