Circumcenter & Incenter (TAKE 2)

Front

Define: CIRCUMCENTER OF A TRIANGLE

Back

The intersection point of the three perpendicular bisectors of a triangle.

Front

Define: INCENTER OF A TRIANGLE

Back

The intersection point of the three angle bisectors of a triangle.

Front

What is a perpendicular bisector?

Back

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

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

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

If m∠CAP = 34°, find m∠CAB.

Back

68°.

Front

What is the significance of the circumcircle?

Back

A circumcircle is a circle that passes through all three vertices of a triangle.

Front

What is the significance of the incircle?

Back

An incircle is a circle that is tangent to all three sides of a triangle.

Front

How do you find the circumcenter of a triangle?

Back

By finding the intersection of the perpendicular bisectors of the sides of the triangle.

Front

How do you find the incenter of a triangle?

Back

By finding the intersection of the angle bisectors of the triangle.