S.5 Ch.10 Basic properties of Circles (I)

smcemath, Sep 22, 2015

Table of Contents

  1. 10.1 Angles in a circle
    1. S.5 Ch.10 Angle at the centre
    2. S.5 Ch.10 Angle in semi-circle
    3. S.5 Ch.10 Angles in the same segment
  2. 10.2 Chords of a circle
    1. S.5 Ch.10 Perpendicular Chord and bisect chord
  3. 10.3 Relationships among angles, arcs and chords
    1. S.5 Ch.10 Equal Angles, Equal Arcs, Equal Chords
    2. S.5 Ch.10 Arcs proportional to angles centre
    3. S.5 Ch.10 Arcs proportional to angles circumference
  4. 10.4 Cyclic Quadrilaterals
    1. S.5 Ch.10 Opposite Angles of Cyclic Quad
    2. S.5 Ch.10 Exterior Angle of Cyclic Quad

1.

10.1 Angles in a circle

  • 1. S.5 Ch.10 Angle at the centre
  • 2. S.5 Ch.10 Angle in semi-circle
  • 3. S.5 Ch.10 Angles in the same segment

1.1.

S.5 Ch.10 Angle at the centre

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1.2.

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1.3.

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2.

10.2 Chords of a circle

  • 1. S.5 Ch.10 Perpendicular Chord and bisect chord

2.1.

S.5 Ch.10 Perpendicular Chord and bisect chord

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3.

10.3 Relationships among angles, arcs and chords

  • 1. S.5 Ch.10 Equal Angles, Equal Arcs, Equal Chords
  • 2. S.5 Ch.10 Arcs proportional to angles centre
  • 3. S.5 Ch.10 Arcs proportional to angles circumference

3.1.

S.5 Ch.10 Equal Angles, Equal Arcs, Equal Chords

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3.2.

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3.3.

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4.

10.4 Cyclic Quadrilaterals

  • 1. S.5 Ch.10 Opposite Angles of Cyclic Quad
  • 2. S.5 Ch.10 Exterior Angle of Cyclic Quad

4.1.

S.5 Ch.10 Opposite Angles of Cyclic Quad

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4.2.

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