Centers of Triangles: Circumcenter (perpendicular bisectors), Incenter (angle bisectors), Centroid (medians), Orthocenter (altitudes).

Diagram showing the four centers of a triangle: Circumcenter, Incenter, Centroid, and Orthocenter, each with a labeled triangle and description of how it is created.

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Show Answer Key & Explanations Step-by-step solution for: Unit 6 Extra Practice | Quizizz

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- The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is the center of the circle that passes through all three vertices of the triangle.
- The incenter is the point where the angle bisectors of a triangle intersect. It is the center of the circle that is tangent to all three sides of the triangle.
- The centroid is the point where the medians of a triangle intersect. It is the center of mass of the triangle and divides each median into a 2:1 ratio.
- The orthocenter is the point where the altitudes of a triangle intersect. An altitude is a perpendicular line from a vertex to the opposite side (or its extension).

Parent Tip: Review the logic above to help your child master the concept of angle bisector median altitude perpendicular bisector.

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