Discussion Topic
In this unit, you studied a handful of circle theorems. However, there are other circle theorems not covered in this unit or course. Do some research online or in textbooks to uncover a circle theorem (or more than one) that wasn’t presented in this unit. Describe it in detail. Then write either a two-column proof or a paragraph proof for the theorem.

Does the theorem that you proved relate to theorems that you previously studied? If so, how? Were you able to apply some theorems that you proved earlier to your newfound theorem? Explain. How might your theorem be used in a real-world application?
these are the theorems we have studied
Circle Theorem 1 - Angle at the Centre.
• Circle Theorem 2 - Angles in a Semicircle.
• Circle Theorem 3 - Angles in the Same Segment.
• Circle Theorem 4 - Cyclic Quadrilateral.
• Circle Theorem 5 - Radius to a Tangent.
• Circle Theorem 6 - Tangents from a Point to a Circle
• Circle Theorem 7 - Tangents from a Point to a Circle II
• Circle Theorem 8 - Alternate Segment Theorem