Center of a Triangle Geometry

Name this center:

• Circumcenter

• Incenter

• Centroid

• Orthocenter

Name this center:

• Circumcenter

• Incenter

• Centroid

• Orthocenter

A circumcenter is the point at which three _____________ intersect in a triangle.

• Medians

• Altitudes

• Perpendicular Bisectors

• Angle Bisectors

A Incenter is the point at which three _____________ intersect in a triangle.

• Medians

• Altitudes

• Perpendicular Bisectors

• Angle Bisectors

Joshua is constructing a triangle with a circle inscribed in it. Each vertex of the triangle will have a line passing through it bisecting the angle. No matter where he places the third vertex, the following conditions will be true: • Each line will always bisect its corresponding vertex angle. • The three lines will always intersect at the center of the circle. • The circle will always be inscribed in the triangle. Which type of center​ (a)   exists where the three lines intersect?

• INCENTER

• CENTROID

• CIRCUMCENTER

• MIDPOINT

If S is the incenter, what type of segments are drawn?

• medians

• angle bisectors

• perpendicular bisectors

• altitudes

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

• Circumcenter

• Orthocenter

• Incenter

• Centroid

Match the following Centers of Triangles

• Angle Bisectors

• Incenter is created by:

• Medians

• Circumcenter is created by:

• Perpendicular Bisectors

• Centroid is created by:

Match the following

• medians

• orthocenter

• altitudes

• incenter

• perpendicular bisectors

• circumcenter

• angle bisectors

• centroid

The altitudes of a triangle intersect at the ​ ​ ​ (a)  

• orthocenter.

• circumcenter.

• incenter.

• centroid.