Incenter and Circumcenter

Front

The incenter of a triangle is equidistant from the __________ of a triangle.

Back

sides

Front

Name this center:

Back

Incenter

Front

P is the incenter of triangle JKL. Find OP if OP = ?

Back

8

Front

If DL = 24, then DG = ?

Back

8

Front

The figure is an example of a(n) ...

Back

angle bisector

Front

Define 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 three sides.

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 all three vertices.

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.

Front

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

Back

The incenter is the center of the circle inscribed within the triangle, touching all three sides.

Front

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

Back

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