Exploring Circle Theorems 1-4

Anthony P, Aug 6, 2017

Table of Contents

  1. Circle Theorem 1
    1. The Angle at the Centre and the Angle at the Circumference
    2. Standing Angles on an Arc
  2. Circle Theorem 2
    1. Angle in a Semi-circle 1
    2. Angle in a Semi-Circle 2
  3. Circle Theorem 3
    1. Circle Theorem 3 - angles on t…
  4. Circle Theorem 4
    1. Circle theorems - Cyclic quadrilaterals
    2. Circle theorems - Cyclic Quadrilaterals
    3. Cyclic Quadrilateral 3

1.

Circle Theorem 1

  • 1. The Angle at the Centre and the Angle at the Circumference
  • 2. Standing Angles on an Arc

1.1.

The Angle at the Centre and the Angle at the Circumference

– Anthony P

1.2.

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2.

Circle Theorem 2

  • 1. Angle in a Semi-circle 1
  • 2. Angle in a Semi-Circle 2

2.1.

Angle in a Semi-circle 1

– Anthony P

2.2.

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3.

Circle Theorem 3

  • 1. Circle Theorem 3 - angles on t…

3.1.

Circle Theorem 3 - angles on t…

Investigate angles on the same arc. Move the points - what do you notice?
– Anthony P, GreenMaths

4.

Circle Theorem 4

  • 1. Circle theorems - Cyclic quadrilaterals
  • 2. Circle theorems - Cyclic Quadrilaterals
  • 3. Cyclic Quadrilateral 3

4.1.

Circle theorems - Cyclic quadrilaterals

Look at the angles on each arc separately.[br]Look at both at the same time and move the points.[br]What do you notice?
Circle theorems - Cyclic quadrilaterals
– GreenMaths

4.2.

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4.3.

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