Loci and Construction (AQA GCSE Maths): Flashcards

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Loci and construction
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Definition of a locus

Line/region with all points satisfying a rule/condition

Locus: fixed distance from a point

Circle (point is centre, distance is radius)

Locus: fixed distance from a line

Sausage shape (parallel lines + semicircular ends)

Locus: equidistant from two lines

Angle bisector

Locus: equidistant from two points

Perpendicular bisector

What does an angle bisector do?

Cuts the angle exactly in half

Perpendicular bisector properties

Passes through midpoint at right angle

Tools needed for loci construction

Ruler and compass

Should you rub out construction marks?

No - leave visible to show working/method

Compass setting during construction

Keep consistent/unchanged throughout

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