Inscribed and Circumscribed Circles

Front

What is the point of concurrency created by the perpendicular bisectors of a triangle?

Back

Circumcenter

Front

What is the point of concurrency created by the angle bisectors of a triangle?

Back

Incenter

Front

If angle a = 93 degrees and angle b = 74 degrees, what are the measures of angles a and b?

Back

a = 93 degrees, b = 74 degrees

Front

If angle a = 29 degrees, what is the measure of angle a?

Back

a = 29 degrees

Front

What is the center of the circle circumscribed about a triangle with coordinates (1, 2)?

Back

(1, 2)

Front

Define a circumcircle.

Back

A circumcircle is a circle that passes through all the vertices of a polygon, specifically a triangle.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

The circumcenter is the center of the circumcircle.

Front

What is an incircle?

Back

An incircle is a circle inscribed in a triangle, tangent to all three sides.

Front

What is the relationship between the incenter and the incircle?

Back

The incenter is the center of the incircle.

Front

How do you find the circumcenter of a triangle?

Back

To find the circumcenter, draw the perpendicular bisectors of at least two sides of the triangle; their intersection is the circumcenter.