HW - Special Segments in Triangles

Front

What are the special segments in triangles?

Back

Special segments in triangles include altitudes, medians, angle bisectors, and perpendicular bisectors.

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex to the opposite side, forming a right angle with that side.

Front

What is a median in a triangle?

Back

A median is a segment that connects a vertex to the midpoint of the opposite side.

Front

What is an angle bisector?

Back

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

Front

What is a perpendicular bisector?

Back

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

Front

Where is the orthocenter located?

Back

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

Front

Where is the centroid located?

Back

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

Front

Where is the circumcenter located?

Back

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

Front

Where is the incenter located?

Back

The incenter is the point where the angle bisectors of a triangle intersect.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

The circumcenter is the center of the circumcircle, which passes through all three vertices of the triangle.