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Topic: 2D Representations of 3D Shapes; Drawing and Constructing Shapes; Loci (Higher - Unit 3)

Specification References: G3.10 G3.10 Use straight edge and a pair of compasses to do constructions.

Candidates should be able to:

• use straight edge and a pair of compasses to do standard constructions
• construct a triangle
• construct an equilateral triangle with a given side
• construct a perpendicular bisector of a given line
• construct the perpendicular from a point to a line
• construct the perpendicular from a point on a line
• construct an angle bisector
• construct angles of 60^o, 90^o, 30^o and 45^o
• draw parallel lines
• draw circles or part circles given the radius or diameter
• construct a regular hexagon inside a circle
• construct diagrams of 2D shapes from given information

Notes

Candidates will be expected to show clear evidence that a straight edge and compasses have been used to do constructions.

Examples

1. Construct the perpendicular bisector of a line and use this to draw an isosceles triangle.

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