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19 May, 16:36

Which shows the most likely side lengths for a parallelogram

A. 9,4,9,9

B. 9,9,9,4

C. 4,4,4,9

D. 4,9,9,4

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  1. 19 May, 17:11
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    The correct option is (D).

    Step-by-step explanation:

    A quadrilateral is a parallelogram if the following conditions are met:

    If two pairs of opposites are equal in length. If two opposite sides are parallel to each other and are equal. If the diagonals bisect each other in equal halves.

    So, for a parallelogram the opposite sides are equivalent in length.

    From the provided length of 4 sides of a quadrilateral, consider the sides provided by option D.

    4, 9, 9, 4

    Two sides are of length 4 units and two of 9 units.

    According to condition 1, the sides {4, 9, 9, 4} can form a parallelogram.

    Thus, the correct option is (D).
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