Special Segments in Triangles

Front

What is an angle bisector in a triangle?

Back

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

Front

What is the definition of an altitude in a triangle?

Back

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

Front

What does a perpendicular bisector do in a triangle?

Back

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

Front

What can be concluded if a segment is an angle bisector?

Back

If a segment is an angle bisector, it divides the angle into two congruent angles.

Front

What is a median in a triangle?

Back

A median is a segment from a vertex 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 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 the significance of the circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from all three vertices.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all three sides.

Front

What is the orthocenter of a triangle?

Back

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