Question

in the cube shown below, which lines are skew? select all that apply.
options: (overleftrightarrow{ij}) and (overleftrightarrow{kn}), (overleftrightarrow{gj}) and (overleftrightarrow{mn}), (overleftrightarrow{hl}) and (overleftrightarrow{kl}), (overleftrightarrow{lm}) and (overleftrightarrow{gh})

Explanation:

Step1: Define skew lines

Skew lines are non-parallel, non-intersecting, and not coplanar.

Step2: Check IJ and KN

IJ and KN are parallel (cube edges), not skew.

Step3: Check GJ and MN

GJ and MN: non-parallel, non-intersecting, non-coplanar → skew.

Step4: Check HL and KL

HL and KL intersect at L → not skew.

Step5: Check LM and GH

LM and GH are parallel (cube edges), not skew.

Answer:

GJ and MN