Special Segments of a Triangle

Front

What is a perpendicular bisector in a triangle?

Back

A segment that is perpendicular to a side of a triangle at its midpoint.

Front

What is the incenter of a triangle?

Back

The point that is equidistant from the sides and is the center of the inscribed circle of a triangle.

Front

What is an altitude in a triangle?

Back

A special segment that extends from a vertex perpendicular to the opposite side.

Front

What is the circumcenter of a triangle?

Back

The point of concurrency of the perpendicular bisectors of a triangle.

Front

What do perpendicular lines do?

Back

Intersect to form right angles.

Front

What is the centroid of a triangle?

Back

The point of concurrency of the medians of a triangle.

Front

What is a median in a triangle?

Back

A segment that connects a vertex to the midpoint of the opposite side.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

The circumcenter is the center of the circumcircle, which passes through all the vertices of the triangle.

Front

How do you find the inradius of a triangle?

Back

The inradius can be found using the area and the semi-perimeter of the triangle.

Front

What is the significance of the orthocenter in a triangle?

Back

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