REVISION NOTES

IGCSE Edexcel Mathematics A

4.5 Construction

4.5.1 Measure and draw lines to the nearest millimetre

4.5.2 Construct triangles and other two-dimensional shapes using a combination of a ruler, a protractor and compasses

edexcel_igcse_mathematics a_topic 29_construction_001_Construct: Triangles

4.5.3 Solve problems using scale drawings

4.5.4 Use straight edge and compasses to:

(i) construct the perpendicular bisector of a line segment

 

Step 1: Open the compasses to more than half the distance from A to B.

 

Step 2: Draw two arcs with centre A.

 

Step 3: Draw two arcs with centre B.

 

Step 4: Use a straight edge to complete the construction.

edexcel_igcse_mathematics a_topic 29_construction_002_Perpendicular Bisector_

(ii) construct the bisector of an angle

 

Step 1: Using compasses, draw an arc with centre O, so it cuts one of the original lines. Call this point A.

 

Step 2: Without changing the compass setting, construct a second arc with centre O, to cut the other line at B.

 

Step 3: Construct two further arcs with centres A and B.

 

Step 4: Complete the construction by drawing a straight line from O to the point of intersection.

edexcel_igcse_mathematics a_topic 29_construction_003_Construct: Angle Bisector
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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)

4.1 Angles, Lines & 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

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

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