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Circle: Chord and Arc Properties

Mathematics · Chapter 14 · 4. Geometry

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Topics 4

  1. The line from the centre bisecting a chord is perpendicular to it; the perpendicular from the centre bisects the chord
  2. Equal chords are equidistant from the centre, and the converse
  3. One and only one circle passes through three non-collinear points
  4. Arcs subtending equal angles at the centre are equal; equal chords cut off equal arcs; converses