In the figure, A B C D is a square of side length 1 . The rectangles J K H G and E B C F are congruent. What is B E ?
Answer Choices A. \dfrac{1}{2}(\sqrt{6}-2) B. \dfrac{1}{4} C. 2-\sqrt{3} D. \dfrac{\sqrt{3}}{6} E. 1-\dfrac{\sqrt{2}}{2}
