Loci (OCR GCSE Maths): Flashcards

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Loci
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Definition of loci

A set of points satisfying certain conditions or rules

Singular form of loci

Locus

Real-world applications of loci

Architecture & engineering for precision in design

Locus of points from a fixed point

Circle with radius = distance from the fixed point

What does an angle bisector create?

Locus equidistant from two lines forming the angle

Purpose of perpendicular bisector

Finds exact midpoint of a line segment

10m rope, scale 1cm=2m, diagram length?

102=5\frac{10}{2}=5 cm

40m radius, scale 1cm=20m, diagram length?

4020=2\frac{40}{20}=2 cm

Method to bisect angle at AA

Arcs from AA, arcs from intersections, line through cross point

Points equidistant from two lines lie on

The angle bisector of those two lines

Circle in loci problems represents

All points at a fixed distance from the centre

Why use compass for loci constructions?

Ensures accuracy in drawing arcs and circles

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