REVISION NOTES

IGCSE Edexcel Mathematics A

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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