Bisectors in Triangles

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 dashed line in the figure is an example of a(n) ...

• angle bisector

• perpendicular bisector

• median

• midsegment

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

• Midsegment

• Incenter

• Circumcenter

• Centroid

Find the value of x

• x=28

• x=14

• x=23

• x=46

Find BD.

• BD = 20

• BD = 2

• BD = 4

• BD = 10

What theorem would be used to find BD?

• Perpendicular Bisector Theorem

• Converse of Perpendicular Bisector Theorem

• Angle Bisector Theorem

• Converse of Angle Bisector Theorem

Mix and Match

• Side Angle Side

• Definition of Angle Bisector

• Reflexive Property

• CPCTC

• Given

• x=67
• x=43
• x=55
• x=12

If DA bisects EI, then

• <IDA = <EDA

• AI=EA

• DI=ED

What is the reason for statement #2.

• Definition of midpoint

• Definition of congruent

• Definition of angle bisector

• Definition of segment bisector