jumping

this could be a construction question but is probably better (more accurately) done with a computer

start with any three points

start anywhere and jump ('leapfrog') over A - the same distance the other side of it (i.e. reflect in the point  'Geogebra' enables you to do this)

then, from where you end up, jump over B

and then C

keep on jumping, over A then B then C
what happens?

James Tanton explains what happens with this problem, using (kind of) vectors

how can you return to the start after just one 'cycle' - set of three jumps?