Circle theorems (AQA GCSE Further Maths): Flashcards

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Circle theorems
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Central angle vs circumference angle (same arc)

Central angle = 2imes2 imes circumference angle

Angle inscribed in a semicircle

Always 90°90°

Angles subtended by same arc, same side

Always equal

Cyclic quadrilateral

4 vertices on circle's circumference

Opposite angles in cyclic quadrilateral

Sum to 180°180°

Alternate segment theorem

Tangent-chord angle = angle in alternate segment

Another name for semicircle angle theorem

Thales' theorem

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