Given two segments in the same plane: AB
and CD, of equal length.
Find point O such that the triangles AOB & COD are congruent.
(In reply to
Solution (spoiler) by Steve Herman)
Look at the diagram
Well, the point labeled E is the A of the puzzle, but the point is, the intersection of EB (consider as AB) with DC does not form a common third vertex with the two lines to make two congruent triangles. You need the intersection of the lines' perpendicular bisectors.

Posted by Charlie
on 20171031 10:30:21 