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Mathematics A

  • IGCSE Edexcel
  • Revision Notes

4. Geometry

4.1 Angles, Lines and Triangles>4.2 Polygons>4.3 Symmetry>4.4 Measures>4.5 Construction>4.6 Circle Properties>4.7 Geometric Reasoning>4.8 Trigonometry and Pythagoras’ Theorem>4.9 Mensuration of 2D Shapes>4.10 3D Shapes and Volumes>4.11 Similarity>

1.1 Integers >1.2 Fractions >1.3 Decimals >1.4 Powers and Roots >1.5 Set Language and Notation >1.6 Percentages >1.7 Ratio and Proportion >1.8 Degree of Accuracy >1.9 Standard Form >1.10 Applying Numbers >1.11 Electronic Calculator >

2.1 Use of Symbols >2.2 Algebraic Manipulation >2.3 Expressions and Formulae >2.4 Linear Equations >2.5 Proportion (Higher Tier Only) >2.6 Simultaneous Linear Equations >2.7 Quadratic Equations >2.8 Inequalities >

3.1 Sequences >3.2 Function Notation (Higher Tier Only) >3.3 Graphs >3.4 Calculus (Higher Tier Only) >

5.1 Vectors (Higher Tier Only) >5.2 Transformation Geometry >

6.1 Graphical Representation of Data >6.2 Statistical Measures >6.3 Probability >

7.1 Appendix 1: Foundation Tier Formula Sheet (Given) >7.2 Appendix 2: Foundation Tier Formula Sheet (To Memorise) >7.3 Appendix 3: Higher Tier Formula Sheet (Given) >7.4 Appendix 4: Higher Tier Formula Sheet (To Memorise) >7.5 Appendix 5: Notation >

4.6 Circle Properties

4.6.1 Recognise the terms ‘centre’, ‘radius’, ‘chord’, ‘diameter’, ‘circumference’, ‘tangent’, ‘arc’, ‘sector’ and ‘segment’ of a circle

A chord is a line segment joining two points on the circumference of a circle.

A line segment drawn from the centre of a circle to the midpoint of a chord will intersect the chord at right angles.

A tangent is a straight line that touches a circle only once.

A tangent and radius meet at right angle.

4.6.2 Understand chord and tangent properties of circles

4.6.3 Understand and use the internal and external intersecting chord properties (Higher Tier Only)

4.6.4 Recognise the term ‘cyclic quadrilateral’ (Higher Tier Only)

4.6.5 Understand and use angle properties of the circle including: (Higher Tier Only)

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