GCSE Maths Circle Theorems

Kathryn Peake, Sep 6, 2016

Table of Contents

  1. Theorems
    1. Angle in a semi-circle
    2. Angle at the circumference
    3. Angles at the circumference
    4. Cyclic quadrilateral 1
    5. Cyclic quadrilateral 2
    6. Tangent and radius
    7. Tangents from a point
    8. Alternate segment
    9. Perpendicular bisector of chord
  2. Proofs
    1. Cyclic Quadrilateral (Proof)
    2. Angle in a semi-circle (proof)
    3. Alternate Segment Theorem (proof)

1.

Theorems

  • 1. Angle in a semi-circle
  • 2. Angle at the circumference
  • 3. Angles at the circumference
  • 4. Cyclic quadrilateral 1
  • 5. Cyclic quadrilateral 2
  • 6. Tangent and radius
  • 7. Tangents from a point
  • 8. Alternate segment
  • 9. Perpendicular bisector of chord

1.1.

Angle in a semi-circle

Angle in a semi-circle
– Kathryn Peake

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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2.

Proofs

  • 1. Cyclic Quadrilateral (Proof)
  • 2. Angle in a semi-circle (proof)
  • 3. Alternate Segment Theorem (proof)

2.1.

Cyclic Quadrilateral (Proof)

Cyclic Quadrilateral (Proof)
– Michael Borcherds

2.2.

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2.3.

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