Special Segments in Triangles

Front

What point of concurrency is the intersection of the altitudes of a triangle?

Back

Orthocenter

Front

What type of special segment connects a vertex to the midpoint of the opposite side?

Back

Median

Front

What is the definition of an altitude in a triangle?

Back

A segment from a vertex perpendicular to the line containing the opposite side.

Front

What type of special segment bisects an angle of a triangle?

Back

Angle Bisector

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect.

Front

What does the centroid of a triangle represent?

Back

The point where the three medians intersect; it is the triangle's center of mass.

Front

What is the definition of a perpendicular bisector?

Back

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

Front

How many altitudes can be drawn in a triangle?

Back

Three, one from each vertex.

Front

What is the relationship between the orthocenter and the type of triangle?

Back

The orthocenter's position varies: inside for acute, on for right, and outside for obtuse triangles.

Front

What is the definition of a median in a triangle?

Back

A segment from a vertex to the midpoint of the opposite side.