Points of Concurrency and Special Segments

Front

What is the definition of the Incenter?

Back

The Incenter is the point of concurrency of the angle bisectors of a triangle, and it is equidistant from all three sides.

Front

What is the definition of the Circumcenter?

Back

The Circumcenter is the point of concurrency of the perpendicular bisectors of the sides of a triangle, and it is equidistant from all three vertices.

Front

What is the definition of the Centroid?

Back

The Centroid is the point of concurrency of the medians of a triangle, and it is the center of mass or balance point of the triangle.

Front

What is the definition of the Orthocenter?

Back

The Orthocenter is the point of concurrency of the altitudes of a triangle.

Front

What is an angle bisector?

Back

An angle bisector is a line or segment that divides an angle into two equal parts.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

How do you find the Incenter of a triangle?

Back

To find the Incenter, construct the angle bisectors of each angle of the triangle; the point where they intersect is the Incenter.

Front

How do you find the Circumcenter of a triangle?

Back

To find the Circumcenter, construct the perpendicular bisectors of each side of the triangle; the point where they intersect is the Circumcenter.