Circle theorems - pictures to learn the theorems

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

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7 Terms

1
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Alternate segment theorem

2
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The angle at the centre is twice the angle at the circumference

3
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Angles in the same segment are equal.

4
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The angle in a semicircle is 90 degrees.

5
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The angle between a tangent and a radius is 90 degrees. Tangents which meet at the same point are equal in length.

6
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The opposite angles in a cyclic quadrilateral total 180 degrees.

7
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The perpendicular from the centre of a circle to a chord bisects the chord