To determine if the explanation regarding the congruency of the trapezoids is correct, more context is needed regarding the specific trapezoids you are referring to (which trapezoids are being compared). However, I'll provide some general information on rotating shapes and congruence.
If trapezoid ABCD is rotated 90 degrees around some point to create trapezoid A'B'C'D', and that rotation does not change the size or shape of the trapezoid, then it can be said that trapezoid ABCD and trapezoid A'B'C'D' are congruent.
Congruence means that two figures have the same shape and size. Rotating a polygon does not affect its size or shape—therefore, any trapezoid that is simply rotated will maintain its properties and is congruent to the original trapezoid.
So, if the explanation states that trapezoids are congruent because one was obtained by rotating the other 90 degrees, then that explanation is indeed correct, provided that both trapezoids are identical in all other respects (e.g., side lengths and angles).
If you have additional specifics or configurations about the trapezoids in question, feel free to share!
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