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...Circle geometry theorems http topdrawer aamt edu au geometric reasoning big ideas angle and chord properties theorem suggested abbreviation diagram when two circles centres of touching intersect the line joining their bisects common at right angles equal arcs on radii subtend centre conversely chords stand or standing top drawer teachers education services australia ltd except where indicated otherwise this document may be used reproduced published communicated adapted free charge for non commercial educational purposes provided all acknowledgements associated with material are retained page is twice circumference subtended b y same arc tangent to a perpendicular radius drawn t he point contact from midpoint bisector passes through in equidistant which any three collinear points lie unique whose concurrency bisectors intervals segment semi opposite cyclic quadrilateral quad supplementary x exterior vertex interior if o pposite ngles converse then note also test four concyclic abcd...