Inscribed Angles Intercepting the Same Arc
Move points C and D to change the measure of the intersected arc. Notice there are 2 inscribed angles that intercept the SAME arc. In your spiral notebook, sketch this drawing and complete and record the conjectures below the activity.
Complete and record the following conjecture in your spiral notebook.
1. Inscribed Angles Intercepting Arcs Conjecture
Inscribed angles that intersect the same arc are ________________.
2. How is the measure of the inscribed angle related to the measure of the intercepted arc? Write an equation. Copy the Inscribed Angle Conjecture below in your notes if you didn't do it previously.
Inscribed Angle Conjecture
The measure of an angle inscribed in a circle is ________________ of the intercepted arc.