14-3: 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

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CCSS.HSG.C.A.3

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

• DA
• AC
• PC
• PF

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CCSS.HSG.C.A.3

P is the incenter of triangle JKL. Find OP.

• 8

• 13

• 17

• 4

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CCSS.HSG.C.A.3

3 or more lines that intersect at the same point

• Concurrent Lines
• Congruent Lines
• Perpendicular Lines
• Parallel Lines

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CCSS.HSG.CO.A.1

If m∠CAP = 34° , find m∠CAB.

• 17°
• 34°
• 68°
• 90°

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CCSS.HSG.C.A.3

What type of point of concurrency is pictured?

• Circumcenter

• Centroid

• Incenter

• Orthocenter

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CCSS.HSG.C.A.3

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

• angle bisector

• perpendicular bisector

• median

• altitude

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CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9