Circumcenter and Incenter

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

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

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

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Supercenter
• Neither

Tags

CCSS.HSG.C.A.3

Name the point of concurrency shown.

• Circumcenter
• Incenter
• Supercenter
• Neither

Tags

CCSS.HSG.C.A.3

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

• DA
• AC
• PC
• PF

Tags

CCSS.HSG.C.A.3

P is the incenter of triangle JKL. Find OP.

• 8

• 13

• 17

• 4

Tags

CCSS.HSG.C.A.3

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

• 8.95

• 9.35

• 10.25

• 12.65

Tags

CCSS.HSG.C.A.3

The incenter is the point at which all the ______ of a triangle meet.

• altitudes

• angle bisectors

• medians

• perpendicular bisectors

Tags

CCSS.HSG.C.A.3