Wednesday 19 March 2014

Bearings and loci

Objectives 

  • Bearings

  • Locus from a fixed point

  • Constructing a perpendicular bisector

  • (to find the locus that is equidistant from two points)

  • Locus from a line

  • Constructing the bisector of an angle

  • (to find the locus that is equidistant from two lines)


Bearings


Locus from a fixed point

A locus means a path. 'Loci' is the plural of locus. It shows us the path or region that a point can travel according to certain rules. 

The locus of all points at a fixed distance from a line.Watch the video here.



The locus of points that are equidistant from two points: Constructing a Perpendicular Bisector

You can find the method by clicking on the image below:
Watch the video.




The locus of all points that are equidistant from two lines: Bisecting an angle



We use this method to find the locus of all points that are equidistant from two lines.

Some real world examples of loci

Watch a video of how loci apply in the real world.