# Investigating Circle Theorems

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- Created by: let_them_8_cake
- Created on: 28-03-16 19:45

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- Circle Theorems
- The angle in a semi-circle is a right angle
- Angles subtended by an arc or chord in the same segment are equal
- Cyclical Quadrilateral Theorem
- The opposite angles of a cyclical quadrilateral add up to 180 degrees

- The angle between a tangent and a radius is 90 degrees
- Two Tangent Theorem
- From any point outside a circle any two tangents can be drawn and they are equal in length

- The Alternative Segment Theorem
- The angle between a tangent and a chord through the point of contact is equal to the angle subtended by that chord in the alternative segment

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