Giuseppina Anatriello, Francesco Laudano, and Giovanni Vincenzi,
Pairs of Congruent-Like
Quadrilaterals that are not Congruent,
Forum Geometricorum, 18 (2018) 381--400.
Abstract. In this article we will give a negative answer to a question referred to a congruence theorem for quadrilaterals that have been recently introduced in [5, section 4]. Precisely we will show that there exist pairs of quadrilaterals having 8 pieces (four sides and four angles) pairwise congruent, but that are not congruent. Computations and the use of geometric design by dynamical software will have a crucial role in the proof.
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