Answer:
The correct option is C.
Step-by-step explanation:
From the given figure it is clear that in figure GHIJ and NMLK,
[tex]\angle G\cong \angle N[/tex]
[tex]\angle H\cong \angle M[/tex]
[tex]\angle I\cong \angle L[/tex]
Since the sum of interior angles of a quadrilateral is 360 and three corresponding angles are congruent, therefore the fourth angle is also congruent.
[tex]\angle J\cong \angle K[/tex]
Corresponding angles of similar figures are congruent. So,
Trapezoid GHIJ ~ Trapezoid NMLK
Therefore the correct option is C.