Points of Concurrency

Front

What is a point of concurrency?

Back

A point where three or more lines intersect in a triangle.

Front

Define circumcenter.

Back

The point where the perpendicular bisectors of a triangle intersect; it is equidistant from the vertices.

Front

What is the centroid of a triangle?

Back

The point where the three medians of a triangle intersect; it is the center of mass.

Front

Define incenter.

Back

The point where the angle bisectors of a triangle intersect; it is equidistant from the sides of the triangle.

Front

What is an orthocenter?

Back

The point where the altitudes of a triangle intersect.

Front

What is a median in a triangle?

Back

A line segment joining a vertex to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

A perpendicular segment from a vertex to the line containing the opposite side.

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a right angle.

Front

How do you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of at least two sides of the triangle and finding their intersection.

Front

How do you find the centroid of a triangle?

Back

By finding the intersection of the three medians.