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ICSE Question Bank
2016Q11(b)(iii)Loci (Locus and Its Constructions)
ConstructionModerate1 mark
11(b)

Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown.

Construct the locus of points equidistant from AC and BC.

Topic: Loci

Previous-year question practice database

Answer

Solution diagram
Solution diagram
Exam answer
  1. CHis thebisectorof ÐACBandis therequiredlocus.
Explanation

Stepsforconstruction :

  1. WithCas thecentreand withradiusof a lengthless than CA orBC,

draw anarc tocut the linesegments ACandBCat DandErespectively.

  1. With thesameradiusorasuitableradiusand withDas thecentre,

draw anarcof acircle.

  1. With thesameradiusand withEas thecentredraw anarcsuch that

thetwoarcsintersect at H.

  1. JoinCandH.
  2. CHis thebisectorof ÐACBandis therequiredlocus.

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