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Circle geometry
 

Circle geometry

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    Circle geometry Circle geometry Presentation Transcript

    • Circle Geometry
      By: Cameron Starcheski, Melanie Bender, and Sarah Somerville
    • Terminology
      • A ‘chord’ divides a circle into two arcs
      Major (larger)
      Minor (smaller)
      • If the word ‘arc’ appears by itself, it means the minor arc
      • An inscribed angle has its vertex on the circle and two chords from the arms
      • The word ‘subtended’ is used when a third chord completes the triangle
      • A ‘central angle’ has its vertex in the centre of the circle and its arms equal the radius
    • Circle Theorem 1:
      Perpendicular bisector of a chord passes through the center of the circle.
    • Circle Theorem 2:
      If two chords are congruent they are equidistant from the centre.
    • Circle Theorem 3:
      Measure of the central angle subtended by a chord is equal to twice the angle at the circumference.
    • Circle Theorem 4:
      Angle subtended by same arc are equal.
    • Circle Theorem 5:
      The angle subtended by a diameter is a right angle.
    • Cyclic Quadrilateral:
      Opposite angles in a cyclic quadrilateral add to 180 degrees
    • Thanks for watching Kenton!!