The angle between any tangent MN and a chord AC is equal to the opposite angle in the triangle < B


 
All angles drawn on the same chord are equal


An angle from any chord AB to the centre of the circle is twice the angle drawn to the circle < M


 
Any angle drawn to the circle from a diameter AB is always 90°


The sum of opposite angles in a cyclic quadrilateral is always 180°
ie: <B + <D = 180°
also <A + <C = 180°


 
The perpendicular OM from the centre of a circle to any chord AB bisects the chord


The angle between any radius OA and the tangent at A is always 90°
 
Tangents drawn to the circle from the same point P are equal in length



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