for GCSE Edexcel maths Higher tier but could probably be used for foundation tier as well
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