1. 10.7 Inscribed and Circumscribed Polygons
Definition: A polygon is inscribed in a circle if all of its vertices lie on the circle.

2. Circumscribed
A polygon is circumscribed about a circle if each of its sides is tangent to the circle.

3. Circumcenter
The center of a circle circumscribed about a polygon is the circumcenter of the polygon. O C
P is the circumcenter of COME P E M

4. Incenter
The center of a circle inscribed in a polygon is the incenter of the polygon P S
O is the incenter of hexagon SPRING! O R G I N

5. T 93:
If a quadrilateral is inscribed in a circle, its opposite angles are supplementary.