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Circle Geometry and Theorems

By Jonathan and Aislinn. Circle Geometry and Theorems. Circle diameter. Task A - diameter. Task a - chord. Circle chord. TASK A - tangent. Circle tangent. This is an isosceles triangle. Because two of the sides are the same and the third one is not. . Task A.

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Circle Geometry and Theorems

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  1. By Jonathan and Aislinn Circle Geometry and Theorems

  2. Circle diameter. Task A - diameter

  3. Task a - chord Circle chord.

  4. TASK A - tangent Circle tangent

  5. This is an isosceles triangle. Because two of the sides are the same and the third one is not. Task A

  6. Task B – angles subtended from the diameter We noticed that angle D is 90 degrees.

  7. TASK B – ANGLES IN THE SAME SEGMENT Circle theorem of chords Angles subtended from the same segment of a chord are always the same. “ Given a chord all angles from that chord are equal”

  8. “For any chord the angle subtended at the centre is twice that subtended at the perimeter.” Task b – angles subtended at the centre

  9. Task b – angles in a cyclic quadrilateral “Opposite angles of a cyclic quadrilateral add up to 180 degrees”

  10. The angle is 90 degrees when the line touches the circle at certain point. Task b – angles between tangent and radius

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