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for GCSE Edexcel maths Higher tier but could probably be used for foundation tier as well
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Alternate segment theorem
The angle at the centre is twice the angle at the circumference
Angles in the same segment are equal.
The angle in a semicircle is 90 degrees.
The angle between a tangent and a radius is 90 degrees. Tangents which meet at the same point are equal in length.
The opposite angles in a cyclic quadrilateral total 180 degrees.
The perpendicular from the centre of a circle to a chord bisects the chord