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The diagonals of quadrilateral ABCD intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what values of x and y would prove that the quadrilateral is a parallelogram?

The diagonals of quadrilateral ABCD intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what values of x and y would prove that the quadrilateral is a parallelogram?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The diagonals of quadrilateral ABC'D intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what values of æ and y would prove that the quadrilateral is a parallelogram? A z = 4; y = 6 В x = 4; y = 12 C x = 8; y = 6 D z = 8; y= 12
Transcribed Image Text:The diagonals of quadrilateral ABC'D intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what values of æ and y would prove that the quadrilateral is a parallelogram? A z = 4; y = 6 В x = 4; y = 12 C x = 8; y = 6 D z = 8; y= 12
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