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In this video I go over the eight circle theorems you need to know for GCSE mathematics, and also provide proofs. Below are the pdfs of the proofs and a blank document that you might want to use to write your own proofs or to help with revision.
circle theorem proofs - bit.ly/36kkMBa
circle theorems blank - bit.ly/2E2ESDG
Revision questions involving circle theorems - • Grade 7-9 Circle Theor...
00:00 - angle at the centre is twice the angle at the circumference
3:48 - angles subtended by the same arc are equal
6:09 - the angle in a semi-circle is 90 degrees
8:48 - opposite angles in a cyclic quadrilateral add up to 180 degrees
10:37 - the perpendicular bisector to a chord bisects the chord
13:02 - the angle between a tangent and radius is 90 degrees
16:13 - tangents from a point are equal in length
17:46 - alternate segment theorem