On a coordinate plane, which theorem can be used to prove that a quadrilateral is a parallelogram if only the slopes of the sides of the quadrilateral are calculated? A If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. B If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 34E: In the drawing, ABDCEF. Suppose that transversals l and m are also parallel. D and C are the...
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On a coordinate plane, which theorem can be used to prove that a quadrilateral is a parallelogram if only the slopes of the sides of the
quadrilateral are calculated?
A If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
B If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram.
C Ifboth pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
D If one pair of opposite sides of a quadrilateral is congruent and parallel, then the quadrilateral is a parallelogram.
Transcribed Image Text:On a coordinate plane, which theorem can be used to prove that a quadrilateral is a parallelogram if only the slopes of the sides of the quadrilateral are calculated? A If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. B If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. C Ifboth pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. D If one pair of opposite sides of a quadrilateral is congruent and parallel, then the quadrilateral is a parallelogram.
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