Medians, altitudes, angle bisectors, and perpendicular bisectors

Front

What is a median in a triangle?

Back

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

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

Front

What is an altitude in a triangle?

Back

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

Front

How many altitudes does a triangle have?

Back

A triangle has three altitudes, one from each vertex.

Front

What is an angle bisector in a triangle?

Back

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

Front

How many angle bisectors does a triangle have?

Back

A triangle has three angle bisectors, one for each angle.

Front

What is a perpendicular bisector?

Back

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

Front

How many perpendicular bisectors does a triangle have?

Back

A triangle has three perpendicular bisectors, one for each side.

Front

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

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 the relationship between the altitudes of a triangle and its orthocenter?

Back

The orthocenter is the point where all three altitudes intersect.