Circle Theorems

Andy Wain, May 10, 2018

8 Basic Circle Theorems for Year 10 Advanced Maths. Mr. Wain

Table of Contents

  1. GeoGebra Applets
    1. Theorem #1 - Angle at the centre/circumference
    2. Theorem #2 - Angle in a Semi-Circle
    3. Theorem #3 - Angles on the same Arc
    4. Theorem #4 - Angles in a Cyclic Quadrilateral
    5. Theorem # 5 - Tangent to a Circle
    6. Theorem #6 - Intersecting Chords
    7. Theorem #7 - Two Tangents to a Circle
    8. Theorem #8 - Alternate Segment - Chord & Tangent
  2. Videos on Circle Theorems
    1. Theorem #1 Videos - Angles at Centre\Circumference
    2. Theorem #2 Videos - Angles in a Semi-Circle
    3. Theorem #3 Videos - Angles on the same Arc
    4. Theorem #4 Videos - Cyclic Quadrilaterals
    5. Theorems #5, 7, 8 - Tangents to a Circle
    6. Theorem # 6 Videos - Alternate Segment

1.

GeoGebra Applets

Links to Applets on Circle Theorems

  • 1. Theorem #1 - Angle at the centre/circumference
  • 2. Theorem #2 - Angle in a Semi-Circle
  • 3. Theorem #3 - Angles on the same Arc
  • 4. Theorem #4 - Angles in a Cyclic Quadrilateral
  • 5. Theorem # 5 - Tangent to a Circle
  • 6. Theorem #6 - Intersecting Chords
  • 7. Theorem #7 - Two Tangents to a Circle
  • 8. Theorem #8 - Alternate Segment - Chord & Tangent

1.1.

Theorem #1 - Angle at the centre/circumference

Theorem #1
– Andy Wain

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

1.8.

–

2.

Videos on Circle Theorems

  • 1. Theorem #1 Videos - Angles at Centre\Circumference
  • 2. Theorem #2 Videos - Angles in a Semi-Circle
  • 3. Theorem #3 Videos - Angles on the same Arc
  • 4. Theorem #4 Videos - Cyclic Quadrilaterals
  • 5. Theorems #5, 7, 8 - Tangents to a Circle
  • 6. Theorem # 6 Videos - Alternate Segment

2.1.

Theorem #1 Videos - Angles at Centre\Circumference

Theorem #1 - Angle at Centre\Circumference
Angle at the Centre
Angle at Centre\Circumference
– Andy Wain

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

Information