Special Segments in Triangles

Front

What is a perpendicular bisector?

Back

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

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, and it is equidistant from the vertices of the triangle.

Front

What is a median in a triangle?

Back

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

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 the sides of the triangle.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is the center of mass of the triangle.

Front

What is an altitude in a triangle?

Back

An altitude is a segment from a vertex of a triangle that is perpendicular to the line containing the opposite side.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

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

Front

How do you determine if a segment is a perpendicular bisector?

Back

A segment is a perpendicular bisector if it divides another segment into two equal lengths and forms a right angle with it.

Front

What does it mean for a point to be equidistant from the sides of a triangle?

Back

A point is equidistant from the sides of a triangle if the perpendicular distances from the point to each side are equal.

Front

What is the orthocenter of a triangle?

Back

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