Circumcenters and Incenters

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 

Tags

CCSS.HSG.C.A.3

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 

Tags

CCSS.HSG.C.A.3

Which point is equidistant from the vertices?

• Circumcenter
• Incenter
• Neither
• Bilateral

Tags

CCSS.HSG.C.A.3

Which point is equidistant from the sides?

• Circumcenter
• Incenter
• Neither
• Bilateral

Tags

CCSS.HSG.C.A.3

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

• angle bisector
• perpendicular bisector
• median
• midsegment

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

CCSS.HSG.CO.D.12

If m∠CAP = 34° , find ∠CAB.

• 17°
• 34°
• 68°
• 90°

Tags

CCSS.HSG.C.A.3

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.3

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.3

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.3

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.3