Inscribed and Circumscribed Circles

Front

Opposite angles of a cyclic quadrilateral are ____________________________.

Back

supplementary

Front

When you draw the perpendicular bisectors of a triangle, it creates the point of concurrency called the _____________.

Back

Circumcenter

Front

What is the center of the circle circumscribed about this triangle? (0.5, 1)

Back

(0.5, 1)

Front

Find the measure of angle R if it is part of a cyclic quadrilateral with opposite angles summing to 180 degrees.

Back

67

Front

What is the center of the circle circumscribed about this triangle? (1, 2)

Back

(1, 2)

Front

Define a cyclic quadrilateral.

Back

A cyclic quadrilateral is a four-sided figure where all vertices lie on the circumference of a circle.

Front

What is the relationship between the angles of a cyclic quadrilateral?

Back

The sum of the opposite angles is 180 degrees.

Front

What is the definition of a circumcircle?

Back

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

Front

What is the circumcenter of a triangle?

Back

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

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.