Final answer:
There is insufficient data to determine the correct measure of side H'I' in the congruent pentagons, as no information on side lengths or angles is given.
Step-by-step explanation:
The question involves finding the measure of a side labelled H'I' in two congruent pentagons, FGHIJ and F'G'H'I'J'. In geometry, if two shapes are congruent, it means that all corresponding sides and angles are equal. Thus, the measure of side H'I' in pentagon F'G'H'I'J' would be equal to the measure of side HI in pentagon FGHIJ.
There is, however, insufficient information to determine the measure of side HI or H'I' in the question as provided; more information is needed such as the lengths of the sides or the angles of the pentagons. So, with the given details, we cannot determine whether the correct answer is A, B, C, or D.