Lydia is trying to prove that a quadrilateral in a coordinate plane is a square. First, she uses the slope formula to prove that there are two pairs of parallel sides. Next, she uses the distance formula to prove that all sides are equal. What additional step must Lydia perform before reaching a conclusion that the quadrilateral is a square?

Question

Mathematics

Ruby Miles

22 December, 03:58

Lydia is trying to prove that a quadrilateral in a coordinate plane is a square. First, she uses the slope formula to prove that there are two pairs of parallel sides. Next, she uses the distance formula to prove that all sides are equal. What additional step must Lydia perform before reaching a conclusion that the quadrilateral is a square?

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Konner Bautista · Answer 1

To be classified as a square, a quadrilateral must have 2 pairs of parallel sides, 4 sides equal in length, and 4 right angles. By using the slope formula, it can be determined whether the quadrilateral's sides are perpendicular. If so, 4 right angles exist and the shape is a square. If not, the shape is not a square.