A D AB = 44 + 3x BC = 33 + y CD = 64 - x AD = 48 - 2y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Prove that quadrilateral ABCD is a parallelogram by finding the lengths (in centimeters) of the opposite side pairs? A) 51 cm, 30 cm B) 55 cm, 33 cm C) 59 cm, 38 cm D) 64 cm, 42 cm

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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Question
7)
A
D
)
AB = 44 + 3x
BC = 33 + y
CD = 64 - x
AD = 48 - 2y
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Prove that quadrilateral ABCD is a
the opposite side pairs?
parallelogram by finding the lengths (in centimeters)
A)
51 cm , 30 cm
B)
55 cm , 33 cm
C)
59 cm , 38 cm
D)
64 cm, 42 cm
Transcribed Image Text:7) A D ) AB = 44 + 3x BC = 33 + y CD = 64 - x AD = 48 - 2y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Prove that quadrilateral ABCD is a the opposite side pairs? parallelogram by finding the lengths (in centimeters) A) 51 cm , 30 cm B) 55 cm , 33 cm C) 59 cm , 38 cm D) 64 cm, 42 cm
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