Triangle Segments and Centers

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. It is equidistant from all three vertices of the triangle.

Front

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

Back

In an obtuse triangle.

Front

What is an angle bisector?

Back

An angle bisector is a line or segment that divides an angle into two congruent angles.

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 orthocenter be located outside the triangle?

Back

In an obtuse triangle.

Front

What is 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 a median in a triangle?

Back

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

Front

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

Back

The centroid is the point where all three medians intersect, and it divides each median into a ratio of 2:1.

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 difference between a median and an altitude?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude is a perpendicular segment from a vertex to the opposite side.