5-2 Bisectors in Triangles

Front

What is the radius of the inscribed circle of a triangle?

Back

The radius of the inscribed circle (inradius) is the distance from the incenter to the sides of the triangle.

Front

What is the center of a circle that intersects each side of a triangle at exactly one point?

Back

The center is called the incenter.

Front

What is an angle bisector of a triangle?

Back

A line that divides an angle into two equal angles.

Front

What is a perpendicular bisector of a triangle?

Back

A line that passes through the midpoint of a side of the triangle and is perpendicular to that side.

Front

What is the point of concurrency of the angle bisectors in a triangle called?

Back

The point of concurrency is called the incenter.

Front

What is the definition of a centroid in a triangle?

Back

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

Front

What is the definition of an orthocenter in a triangle?

Back

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

Front

What is the definition of a circumcenter in a triangle?

Back

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

Front

What is the relationship between the incenter and the sides of a triangle?

Back

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

Front

How do you find the inradius of a triangle?

Back

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