Points of Concurrency in a Triangle

Front

What is the definition of 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 the definition of an Altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the definition of 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 the definition of an Angle Bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the point of concurrency of the three medians of a triangle called?

Back

The point of concurrency of the three medians is called the centroid.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from the vertices.

Front

What is the incenter of a triangle?

Back

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

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the altitudes of a triangle intersect.

Front

How many points of concurrency are there in a triangle?

Back

There are three main points of concurrency in a triangle: centroid, circumcenter, and incenter.

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.