Locus (B)
In this sketch, point Y is exactly the same distance from sides f and g (Yf=Yg). The distances are ALWAYS the shortest path. Move points A, B, C, D, and E so each point is at a different location between the two sides and has the same distance from sides f and g (Af=Ag, Bf=Bg, ...). Place all of the points before checking your distances. Click on each Button to check your estimated distances. How close did you get?
Use the GeoGebra tools to construct the path (or paths) ALL of the points that have the same distance to sides f and g.