Geo 5.3 Circumcenter and Incenter

Define: CIRCUMCENTER OF A TRAINGLE

• the intersection point of the three perpendicular bisectors of a triangle 

• when a circle passes through the three vertices of a triangle 

• the point of intersection of three or more lines 

• the intersection point of the three angle bisectors of a triangle 

Define: INCENTER OF A TRIANGLE

• the intersection point of the three angle bisectors of a triangle 

• when three or more lines intersect at a single point 

• the intersection point of the three perpendicular bisectors of a triangle 

• the point of intersection of three or more lines 

Which point is equidistant from the vertices?

• Circumcenter

• Incenter

• Neither

• Bilateral

Which point is equidistant from the sides?

• Circumcenter

• Incenter

• Neither

• Bilateral

Name the point of concurrency shown.

• Circumcenter

• Incenter

• Supercenter

• Neither

Name the point of concurrency shown.

• Circumcenter

• Incenter

• Supercenter

• Neither

Point P is the circumcenter, which segment is equal to PB

• DA

• AC

• PC

• PF

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

• angle bisector

• perpendicular bisector

• median

• midsegment

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

• 10

• 20

• 5

• 30

If m∠CAP = 34° , find ∠CAB.

• 17°

• 34°

• 68°

• 90°