Bisectors of Triangles

Front

Segment AD is ________.

Back

an angle bisector

Front

What is the special property for circumcenters?

Back

The circumcenter is equally distant to the vertices.

Front

What is the special property for incenters?

Back

The distance from the incenter to the sides will all be the same.

Front

What is a median in a triangle?

Back

A median is a line segment joining a vertex to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

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

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides intersect.

Front

What is the incenter of a triangle?

Back

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

Front

How do you find the circumradius of a triangle?

Back

The circumradius R can be found using the formula R = (abc)/(4K), where K is the area of the triangle.

Front

How do you find the inradius of a triangle?

Back

The inradius r can be found using the formula r = A/s, where A is the area and s is the semi-perimeter.

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.