The correct statement is to Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.
A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
The statement that explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram is "Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals".
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