Bisectors in Triangles Worksheet with Answer Keys

Define: POINT OF CONCURRENCY

• when three or more lines intersect at a single point 
• the intersection point of the three angle bisectors of a triangle 
• when a circle passes through the three vertices of a triangle 
• the point of intersection of three or more lines 

Define: CIRCUMCENTER OF A TRIANGLE

• A. the intersection point of the three perpendicular bisectors of a triangle 
• B. when a circle passes through the three vertices of a triangle 
• C. the point of intersection of three or more lines 
• D. the intersection point of the three angle bisectors of a triangle 

Define: INCENTER OF A TRIANGLE

• A. the intersection point of the three angle bisectors of a triangle 
• B. when three or more lines intersect at a single point 
• C. the intersection point of the three perpendicular bisectors of a triangle 
• D. the point of intersection of three or more lines 

Find the length of PO.

• A. 32
• B. 35
• C.  26
• D. 29

Given:  AG = 10, find the length of BG.

• A. 10
• B. 20
• C. 5
• D. 30

If m∠CAP = 34° , find ∠CAB.

• A. 17°
• B. 34°
• C. 68°
• D. 90°

Which of the images represents the Circumcenter of a Triangle

• First
• Second
• Third

Which of the images represents the Incenter of a Triangle

• First
• Second
• Third

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Supercenter
• Neither

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Supercenter
• Neither