Loci and Constructions (Edexcel GCSE Maths): Flashcards

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Loci and constructions
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Locus definition

Line/region with all points satisfying a rule/condition

Plural of locus

Loci

Number of main loci types

Four

Circle locus represents

Fixed distance from a point

Sausage locus represents

Fixed distance from a line

Angle bisector locus represents

Equidistant from two lines

Perpendicular bisector locus represents

Equidistant from two points

What angle bisector does to angle

Splits it into two equal parts

How to create 30circ30^circ angle

Bisect a 60circ60^circ angle

How to create 45circ45^circ angle

Bisect a 90circ90^circ angle

What two perpendiculars create

Parallel lines (perpendicular to perpendicular = parallel)

Key rule for compass setting in construction

Keep it consistent throughout

Tool NOT to use for geometric constructions

Protractor

Why keep construction marks visible

Evidence of proper method for examiners

What 60circ60^circ construction uses

Properties of equilateral triangle

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