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Basic Properties of Circles
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1. Distances between Chords and Centre
- Equal Chords
- Chords Equidistant from Centre
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2. Angles in a Circle
- Angles at the Centre and Angles at the Circumference
- Angle in Semi-circle
- Converse of Angle in Semi-circle
- Angles in the Same Segment
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3. Relationships among Arcs, Chords and Angles
- Explore Relationships among Angles, Arcs and Chords of Circles
- Relationship between Angles at the Circumference and Arcs
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4. Cyclic Quadrilaterals
- Opposite Angles of a Cyclic Quadrilateral
- Exterior Angle of a Cyclic Quadrilateral
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5. Concyclic Points
- Converse of Angles in the Same Segment
- Opposite Angles Supplementary
- Exterior Angle Equals Interior Opposite Angle
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Basic Properties of Circles
Anthony OR 柯志明, Dec 17, 2024

Table of Contents
- Distances between Chords and Centre
- Equal Chords
- Chords Equidistant from Centre
- Angles in a Circle
- Angles at the Centre and Angles at the Circumference
- Angle in Semi-circle
- Converse of Angle in Semi-circle
- Angles in the Same Segment
- Relationships among Arcs, Chords and Angles
- Explore Relationships among Angles, Arcs and Chords of Circles
- Relationship between Angles at the Circumference and Arcs
- Cyclic Quadrilaterals
- Opposite Angles of a Cyclic Quadrilateral
- Exterior Angle of a Cyclic Quadrilateral
- Concyclic Points
- Converse of Angles in the Same Segment
- Opposite Angles Supplementary
- Exterior Angle Equals Interior Opposite Angle
Equal Chords

Angles at the Centre and Angles at the Circumference

Explore Relationships among Angles, Arcs and Chords of Circles

Opposite Angles of a Cyclic Quadrilateral

Converse of Angles in the Same Segment

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