Name the groups of all possible parallel edges of the box whose figure is shown below.
Figure

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Solution

$T h e g r o u p s o f p a r a l l e l e d g e s a r e (A D ∥ G H ∥ B C ∥ F E), (A B ∥ D C ∥ G F ∥ H E) a n d (A H ∥ B E ∥ C F ∥ D G) . T h e a b o v e m e n t i o n e d g r o u p s o f e d g e s a r e p a r a l l e l b e c a u s e t h e y w i l l n o t m e e t e a c h o t h e r i f p r o d u c e d i n f i n i t e l y t o b o t h s i d e s .$

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