Loci 4[br][br]The locus of points which are equidistant from [b][i]two[/i] given [/b][b]points[/b][i].[/i][br][br]In plain terms:[br][br]Constructing this locus is a little bit like constructing Loci Type 3. Obviously with this loci type you are constructing a locus from two given [i]points [/i]instead of from two given [i]lines. [/i]You will need a compass, ruler and a pencil.[br][br]Take a look at the graphic below and the following steps to create the locus will make sense. [br]Draw two given points and mark them as Point A and Point B.[br]Draw two small arcs from Point A and two small arcs from Point B.[br]The 1st and 3rd Compass Marks (arcs) will form an intersect point.[br]The 2nd and 4th Compass Marks (arcs) will form another intersect point[br]Draw a line from the intersecting compass marks and this line is the Locus.[br][br]This particular Locus is a Perpendicular Bisector. This Locus is at right angles to the line joining Given Point A and Given Point B. The Locus is equidistant from both Points A and B.[br][br]You can bisect the 90[math]^\circ[/math] angle using the method used in [url=https://www.geogebra.org/m/nx5PMCzT#material/Tk9hqYUx]Loci Type 3[/url] to create a 45[math]^\circ[/math] angle without using a protractor.