Central & Intercepting Angles

The applet below illustrates the types of angles that can be formed inside a circle.

When point E and point P coincide, the green angles that are formed are specifically called ____________ _____________, because the vertex is positioned at the center of the circle.

Check all that apply

Now, drag points A, B, C, or D and observe how the positioning of the green angles changes. When point E and point P no longer coincide, the green angles that are formed are more generally called ____________ ____________, because both sides of the angle intersect an arc of the circle.

Check all that apply

Definition of Arc Measure

Click "Reset to Central Angle". By definition, the measures of the red arc and blue arc are _________________ to the measure of the central angle.