When proving that a quadrilateral is a parallelogram by using slopes you must find
A
the slopes of all four sides
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B
the slopes of two opposite sides
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C
the lengths of all four sides
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D
both the lengths and slopes of all four sides
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E
none of these
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Solution
The correct option is E both the lengths and slopes of all four sides A parallelogram is a (non self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. Option D is correct.