Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram?

Prove that all sides are congruent and have slopes that are opposite reciprocals.

Prove that segments AD and AB are congruent and parallel.

Prove that opposite sides are congruent and have equal slopes.

Prove that segments BC and CD are congruent and parallel.

Question

12-05-2021
Mathematics

contestada

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram?

Prove that all sides are congruent and have slopes that are opposite reciprocals.

Prove that segments AD and AB are congruent and parallel.

Prove that opposite sides are congruent and have equal slopes.

Prove that segments BC and CD are congruent and parallel.

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Martebi Martebi · Answer 1 · 2022-05-13T10:43:11+02:00

The statement that explains about parallelogram is to prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

Are the slopes of all consecutive sides opposite reciprocals?

Note that when the slopes of consecutive sides are said to be opposite reciprocals of each other, it means that all the sides are said to intersect at right angles.

Conclusively, The statement that explains about how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram is to prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

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