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My Quadrilateral Is A Parallelogram

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My quadrilateral is a parallelogram. According to the Quadrilateral Family Tree, a parallelogram is a quadrilateral where both pairs of opposite sides are parallel and congruent, and the diagonals bisect each other. With my side length calculations, I know that both opposite sides HA and IL are congruent (length: 15), and sides AI and LH are congruent (length: 10). Also, the slopes of the two pairs of opposite sides are congruent- sides HA and IL are 4/3 and sides AI and LH are -¾. Based on my calculations, I can conclude that opposite sides are congruent and parallel because the slopes and distances are congruent, which are properties of a parallelogram. My diagonal length, slope, and midpoint calculations support the classification of my

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