How are parallexagons related to regular hexagon, equiangular hexagon and equilateral hexagon?

Question

Define a parallexagons to be a hexagon whose three pairs of opposite sides are parallel. a) Deduce at least one property of this hexagon different from its definition property? b) How are parallexagons related to regular hexagon, equiangular hexagon and equilateral hexagon? please help??

Answer 1

They all refer to the same shape. A regular hexagon has sides of equal length (equilateral), angles of equal size (equiangular) and 3 pairs of parallel sides (parallelexagon).