Loci (Edexcel GCSE Maths): Flashcards
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Definition of a locus
Definition of a locus
A set of points that satisfy the same condition or rule
Plural of locus
Plural of locus
Loci
Locus: points same distance from a fixed point
Locus: points same distance from a fixed point
Circle
Circle locus: what are center and radius?
Circle locus: what are center and radius?
Center is fixed point; radius is the fixed distance
Locus: points equidistant from two fixed points
Locus: points equidistant from two fixed points
Perpendicular bisector of line joining the two points
How perpendicular bisector divides the line
How perpendicular bisector divides the line
Cuts it in half at a right angle
Locus: points same distance from a straight line
Locus: points same distance from a straight line
Two parallel lines either side + semicircles at ends
Shortest distance from a point to a line
Shortest distance from a point to a line
Perpendicular distance
Tools to construct loci
Tools to construct loci
Ruler and pair of compasses
Method for multiple loci conditions
Method for multiple loci conditions
Construct each separately, then find overlapping regions
Real-world applications of loci
Real-world applications of loci
Safe zones, coverage areas, regions with specific properties
Key steps for loci questions
Key steps for loci questions
Read conditions, identify type, construct, mark final region