Bisectors in Triangles Worksheet with Answer Keys

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

• angle bisector

• perpendicular bisector

• median

• midsegment

The place where all three angle bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

The INCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

The CIRCUMCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

The figure shows a triangle with one of its angle bisectors. Find x if m∠2 = 4x + 5 and m∠1 = 5x – 2.

• 7

• 33

• 3

• 32

Determine the Conclusion.

• Then ∠BCA ≅ ∠DCA.

• Then ∠BAC ≅ ∠DAC.

• Then Segment AB is congruent to Segment AD.

• Then ∠BAC and ∠DAC are right angles.

Segment AD is ________.

• a perpendicular segment

• a median 

• an angle bisector

• an altitude

The place where all three perpendicular bisectors meet is called the ...

• Circumcenter

• Orthocenter

• Incenter

• Centroid

What type of center is point M?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

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

• Midsegment

• Incenter

• Circumcenter

• Centriod