Name the labeled segments that are parallel to eg ef, bd, ac fh, cg, ac bd, ac, fh bf, ac, fh

BD, AC, FH

Step-by-step explanation:

Parallel segments are segments that will never intersect.  This means parallel segments will have the same slope.

EG and FH are parallel, as they are on opposite sides of their corresponding rectangular face.

EG and AC are parallel, as they are on opposite sides of their corresponding rectangular face.

AC and BD are parallel, as they are on opposite sides of their corresponding rectangular face.  Since AC and EG are parallel, this means that EG and BD are parallel as well.