Bisectors, Medians and Altitudes of Triangles

Front

What is a bisector in a triangle?

Back

A bisector in a triangle is a line, segment, or ray that divides an angle or a side into two equal parts.

Front

Define median in the context of triangles.

Back

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

Front

What is an altitude in a triangle?

Back

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

Front

What is the point of concurrency of the medians called?

Back

The point of concurrency of the 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.

Front

What is the orthocenter of a triangle?

Back

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

Front

In which type of triangle can the circumcenter be outside the triangle?

Back

The circumcenter can be outside the triangle if the triangle is obtuse.

Front

What is an angle bisector?

Back

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

Front

What is a perpendicular bisector?

Back

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

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.