Special Segments in Triangles

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 point in a triangle is equidistant from the sides?

Back

The incenter is the point that is equidistant from the sides of a triangle.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

How does the centroid divide each median?

Back

The centroid divides each median into two segments, with the shorter segment being one third the length of the entire median.

Front

What does the circumcenter of a triangle represent?

Back

The circumcenter is the point that is equidistant from the vertices of a triangle.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

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

Front

What is the definition of the orthocenter in a triangle?

Back

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

Front

What is the significance of the incenter in triangle construction?

Back

The incenter is the center of the incircle, which is the circle inscribed within the triangle.

Front

What is the relationship between the medians and the centroid?

Back

The centroid is located two-thirds of the distance from each vertex along the median.

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.