Circle Theorems 4.0 / 5 MathematicsAnglesIGCSEEdexcel Created by: Natalie BakerCreated on: 24-03-13 12:01 The angle at the centre Is twice the angle on the circumference 1 of 6 Angles subtended by the arc in the same segment Are equal (ie. Pg 356) 2 of 6 The angle subtended in a semicircle is a right angle 3 of 6 The angles subtended in opposite segments Add up to 180 4 of 6 The alternate segment theorem the angle between a tangent and a chord is equal to the angle subtended in the opposite segment 5 of 6 A pair of chords (AB CD) intersect at X The lengths AX,BX, CX and DX are related as such: AX x BX = CX x DX 6 of 6

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