Loci and Constructions — Worked Examples (Edexcel GCSE Maths): Flashcards

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Loci and constructions — worked examples
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Definition of locus

A set of points that satisfy a particular condition

Plural of locus

Loci

Key strategy for multiple loci conditions

Draw each locus first, then find where all overlap

Quarter circle in loci represents

Points within a fixed distance from a point

Perpendicular bisector shows

Points equidistant from two points

Shaded region in loci problems shows

Where ALL conditions are satisfied simultaneously

Required tools for loci constructions

Ruler and pair of compasses

Why avoid freehand drawing in constructions?

Won't earn full marks in exams

When to leave construction lines visible

When question asks for them to be shown

Purpose of construction lines

Show method, can earn partial credit even if answer has errors

Common mistake in word problems with loci

Getting distracted by story context

How to approach loci word problems

Identify geometric conditions, then apply standard techniques

First step in combining multiple loci

Read all conditions carefully

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