Investigating Circle Theorems

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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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