Midsegments, Perpendicular Bisectors, Angle Bisectors, Circumcenter, and Center

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. 

If BC is 18, what is DC?

• 6

• 9

• 12

• 18

If GC is 11, what is AG?

• 11

• 9

• cannot determine

• 5.5

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

• 3

• 6

• 27

• 54

If G is the circumcenter, what type of segments are drawn?

• perpendicular bisectors

• angle bisectors

• altitudes

• centroids

A segment joining two sides of a triangle at the midpoints.

• altitude

• perpendicular bisector

• midsegment

• angle bisector

The circumcenter of a triangle is equidistant from the _______ of the triangle.

• verticies

• sides

• center

• medsegment

Which point is equidistant from the sides?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

The point of concurrency made by 3 angle bisectors is known as the

• orthocenter

• centroid

• circumcenter

• incenter

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

• Angle Bisector

• Perpendicular Bisector

• Altitude

• Median