Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are parallel?
Use the slope formula to prove the slopes of the opposite sides are the same.
Use the slope formula to prove the slopes of the opposite sides are opposite reciprocals.
Use the distance formula to prove the lengths of the opposite sides are the same.
Use the distance formula to prove the midpoints of the opposite sides are the same.

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4698115 4698115

06-04-2020
Mathematics

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Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are parallel?
Use the slope formula to prove the slopes of the opposite sides are the same.
Use the slope formula to prove the slopes of the opposite sides are opposite reciprocals.
Use the distance formula to prove the lengths of the opposite sides are the same.
Use the distance formula to prove the midpoints of the opposite sides are the same.

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ahirohit963 ahirohit963 · Answer 1 · 2021-11-23T06:56:09+01:00

Parallel lines never intersect each other, so the slopes of opposite parallel sides of a quadrilateral are equal. The correct option is a).

A quadrilateral is a polygon with four sides connected to each other The sum of all the interior angles of a quadrilateral is equal to 360 degrees.

The coordinate geometry can be used in order to prove the opposite sides of a quadrilateral are parallel.

Parallel lines never intersect each other, so the slopes of opposite parallel sides of a quadrilateral are equal.

Therefore, the correct option is (a) use the slope formula to prove the slopes of the opposite sides are the same.

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