Question

How do I find segment (x) in this trapezoid? (ABCD)

Answer 1

.

Answer 2

I'm not entirely sure, but I think there are two similar trapezoids there:
ABFE and EFCD are similar.

Answer 3

Yes indeed. If not congruent then they are very close to being congruence.

Answer 4

Not congruent, similar.
Since they're similar, you can use ratio of sides equality:
\[\frac{ 12.6 }{ 8.8 } = \frac{ 8.8 }{ x }\]