MM Bisectors, Medians and Altitudes of Triangles

Front

What is an altitude in a triangle?

Back

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

Front

What is a median in a triangle?

Back

A median is a segment with endpoints at a vertex and the midpoint of the opposite side.

Front

What is an angle bisector?

Back

An angle bisector is a segment from a vertex of a triangle that splits the angle into two equal angles.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a segment that is perpendicular to a side of a triangle at its midpoint.

Front

What is the relationship between medians and centroids?

Back

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

Front

How many altitudes can be drawn in a triangle?

Back

Three altitudes can be drawn in a triangle, one from each vertex.

Front

What is the significance of the orthocenter?

Back

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

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 perpendicular to the opposite side.

Front

Can a segment be both a median and an altitude?

Back

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

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.