Circle Important Theorems
Circle Theorem Theorem 1 - The perpendicular bisectors of two chords of a circle intersect at its centre. Theorem 2- The perpendicular from the centre of a circle to a chord bisects the chord. Theorem 3- If two arcs of a circle are congruent then the corresponding chords are equal. Theorem 4 - The line joining the centre to the mid point of a chord is perpendicular to the chord. Theorem 5 - Equal chords of a circle are equidistant from the corresponding centre. Theorem 6 -chords which are equidistant from the corresponding centres are equal. Theorem 7 - The angle in a semi circle is a right angle. Theorem 8 - There is one and only one circle passing through three non collinear points. Theorem 9 - An infinite number of circles can be drawn to pass through a single point. Theorem 10 - An infinite number of circles can be drawn to pass through two given points. Theorem 11 - A unique circle can be drawn to pass through three given non collinear points. Theorem 12