Circle geometry
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This document defines circle geometry terminology like chord, arc, inscribed angle, and central angle. It then presents 5 circle theorems: 1) the perpendicular bisector of a chord passes through the circle's center, 2) congruent chords are equidistant from the center, 3) the measure of a central angle is equal to twice the measure of the angle at the circumference, 4) angles subtended by the same arc are equal, and 5) an angle subtended by a diameter is a right angle. It also states that opposite angles in a cyclic quadrilateral add to 180 degrees.
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Circle geometry
- 1. Circle GeometryBy: Cameron Starcheski, Melanie Bender, and Sarah Somerville
- 2. TerminologyA ‘chord’ divides a circle into two arcsMajor (larger)Minor (smaller)If the word ‘arc’ appears by itself, it means the minor arc
- 3. An inscribed angle has its vertex on the circle and two chords from the arms
- 4. The word ‘subtended’ is used when a third chord completes the triangle
- 5. A ‘central angle’ has its vertex in the centre of the circle and its arms equal the radiusCircle Theorem 1:Perpendicular bisector of a chord passes through the center of the circle.
- 6. Circle Theorem 2: If two chords are congruent they are equidistant from the centre.
- 7. Circle Theorem 3:Measure of the central angle subtended by a chord is equal to twice the angle at the circumference.
- 8. Circle Theorem 4: Angle subtended by same arc are equal.
- 9. Circle Theorem 5: The angle subtended by a diameter is a right angle.
- 10. Cyclic Quadrilateral:Opposite angles in a cyclic quadrilateral add to 180 degrees
- 11. Thanks for watching Kenton!!