Improve Competency with MyMathsHero
A locus is a set of points satisfying a certain condition. For example, the locus of points that are 1cm from the origin is a circle of radius 1cm centered on the origin, since all points on this circle are 1cm from the origin. Loci are used to identify areas that satisfy criteria such as a given distance from a point or halfway between two lines.
In this topic, we cover the following: Basic geometrical construction, further constructions, locus, common loci and construction loci. At the end of this topic, students should understand the following among other things:
- Recall and build on previous knowledge to use ruler and compasses to: bisect a given line segment, bisect any angle, construct special angles and combinations of angles,
- Recall and build on previous knowledge to construct triangles and quadrilaterals involving the various constructions,
- Define loci and construct the locus of points that are a given distance from a fixed point, a straight line, equidistant from two given points and equidistant from two given straight lines,
- Apply the above knowledge to construct a line perpendicular to a given straight line, construct special angles, divide a given straight line into a given number of equal parts, draw a line segment, find the point of intersection and find distance between flagpoles.
