Incenter and Circumcenter

Front

What is the Incenter of a triangle?

Back

The Incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.

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. It is equidistant from all three vertices of the triangle.

Front

If m∠CAP = 34°, what is ∠CAB?

Back

68°

Front

What segments intersect at the Incenter of a triangle?

Back

Angle Bisectors.

Front

Which center of a triangle is located inside the triangle?

Back

Incenter.

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

What is the relationship between the Circumcenter and the vertices of a triangle?

Back

The Circumcenter is equidistant from all three vertices of the triangle.

Front

If HK and JK are angle bisectors of triangle GHI, what can be said about point K?

Back

Point K is the Incenter of triangle GHI.

Front

What is the formula to find the distance from the Incenter to a side of the triangle?

Back

The distance from the Incenter to a side is equal to the radius of the inscribed circle.

Front

What is the significance of the Circumcenter in triangle construction?

Back

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