Symmetrical Properties of Chords

What you need to learn in this topic

1. Verify and explain that (i) diameter of a circle is an axis of symmetry of the circle; (ii) a radius that is perpendicular to a chord bisects the chord and vice versa; (iii) perpendicular bisectors of two chords intersect at the centre; (iv) chords that are equal in length produce arcs of the same length and vice versa; and (v) chords that are equal in length are equidistant from the centre of the circle and vice versa
2. Determine the centre and radius of a circle by geometrical construction
3. Solve problems involving symmetrical properties of chords