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Circle Theorems for CIE IGCSE Mathematics
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1. Angles in a semi-circle
- Angles in a semi-circle
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2. Angle between tangent and radius
- Angle between tangent and radius
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3. Angle at the centre and angle at the circumference
- Angle at the centre and angle at the circumference
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4. Angles in the same segment
- Angles in the same segment
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5. Angles in opposite segments
- Angles in opposite segments
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6. Opposite angles in cyclic quadrilaterals
- Opposite angles in a cyclic quadrilateral
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7. Distance of equal chords from the centre
- Distance of equal chords from the centre
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8. Perpendicular bisector of a chord
- Perpendicular bisector of a chord
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9. External tangents from a point outside the circle
- External tangents from a point outside the circle
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10. Angles in alternate segments
- Angles in alternate segments
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11. Chords intersecting inside the circle
- Chords intersecting inside the circle
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12. Chords intersecting outside the circle
- Chords intersecting outside the circle
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13. Angle between extended chord and tangent
- Tangent intersecting extended chord
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Circle Theorems for CIE IGCSE Mathematics
David Cheung, Nov 6, 2016

Investigations on circle theorems for CIE IGCSE Mathematics
Table of Contents
- Angles in a semi-circle
- Angles in a semi-circle
- Angle between tangent and radius
- Angle between tangent and radius
- Angle at the centre and angle at the circumference
- Angle at the centre and angle at the circumference
- Angles in the same segment
- Angles in the same segment
- Angles in opposite segments
- Angles in opposite segments
- Opposite angles in cyclic quadrilaterals
- Opposite angles in a cyclic quadrilateral
- Distance of equal chords from the centre
- Distance of equal chords from the centre
- Perpendicular bisector of a chord
- Perpendicular bisector of a chord
- External tangents from a point outside the circle
- External tangents from a point outside the circle
- Angles in alternate segments
- Angles in alternate segments
- Chords intersecting inside the circle
- Chords intersecting inside the circle
- Chords intersecting outside the circle
- Chords intersecting outside the circle
- Angle between extended chord and tangent
- Tangent intersecting extended chord
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