Incenter and Circumcenter Constructions

The INCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

Tags

CCSS.HSG.C.A.3

The CIRCUMCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

Tags

CCSS.HSG.C.A.3

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

• altitude

• perpendicular bisector

• median

• angle bisector

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

Which center of a triangle is shown in the picture below?

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.C.A.3

Which center of a triangle is shown in the picture below?

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Tags

CCSS.HSG.C.A.3

H is the circumcenter. Find HD. If your answer is a decimal, round to the nearest tenth.

Tags

CCSS.HSG.C.A.3

G is the incenter. Find m∠ABG. If your answer is a decimal, round to the nearest tenth.

Tags

CCSS.HSG.C.A.3

What is the special property for circumcenters?

• The circumcenter is equally distant to the midpoint of the sides of the triangle.

• The circumcenter is equally distant to the vertices.

Tags

CCSS.HSG.C.A.3

What is the special property for incenters?

• The distance from the incenter to the sides will all be the same.

• The incenter is always outside the triangle.

Tags

CCSS.HSG.C.A.3

P is the incenter. Which segment lengths are equal?

• KP

• MP

• PN

• PJ

• PL

Tags

CCSS.HSG.C.A.3