Medians and Altitudes

Front

What is an altitude in a triangle?

Back

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

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 connects a vertex to the opposite side at a right angle.

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

Front

How many altitudes does a triangle have?

Back

A triangle has three altitudes, one from each vertex.

Front

What is the centroid of a triangle?

Back

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

Front

What is the orthocenter of a triangle?

Back

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

Front

Can a segment be both a median and an altitude?

Back

Yes, in an isosceles triangle, the segment from the vertex angle to the base can be both a median and an altitude.

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 an angle bisector?

Back

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