Special Segments in Triangles

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line segment that divides another segment into two equal parts at a 90-degree angle.

Front

What are altitudes in triangles?

Back

Altitudes are segments from a vertex of a triangle perpendicular to the opposite side.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of a triangle intersect.

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 sides.

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

What is the centroid of a triangle?

Back

The centroid is the point of concurrency of the medians of a triangle.

Front

What is an angle bisector?

Back

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

Front

How do you identify a perpendicular bisector in a triangle?

Back

A perpendicular bisector can be identified by its right angle and equal segments on either side of the original segment.

Front

What is the relationship between the circumcenter and the triangle's vertices?

Back

The circumcenter is equidistant from all three vertices of the triangle.

Front

What is the relationship between the incenter and the triangle's sides?

Back

The incenter is equidistant from all three sides of the triangle.