Hello Sona
Go for square
as all others are equally possible
Sona K.
Turned out that the actual answer was rhombus, but thank you for helping. :)
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05/29/20
Sona K.
asked • 05/26/20In parallelogram ABCD, AB = x + 8, BC = 3x, and CD = 4x – 4. ABCD must be a
I'm confused by this question. Please help me if you can. This are the answer choices.
(A) rectangle (B) rhombus (C) trapezoid (D) square (E) pentagon
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2 Answers By Expert Tutors
Yefim S. answered • 05/26/20
Tutor
5
(20)
Math Tutor with Experience
Because ABCD is parallelogram then AB = CD, or x + 8 = 4x - 4; - 3x = - 12; x = 4 ;
Then AB = 12, BC = 12, CD = 12. So DA = 12 and we have rhombus or square.
Answer: (B) or (D)
Sona K.
But it can also be a trapezoid, as the 3 sides can be equal, but AD can also not be 12 and it can equal a larger number. So I in this case we have 3 possible answers, but I have to pick 1. How can I understand which one is the right one?
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05/26/20
Dr Gulshan S.
tutor
It can not be pentagon for sure . Rest all are OK
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05/26/20
David S.
Can’t be a trapezoid because it said already that it was a parallelogram. Since we can’t assume 90 degree angles I believe Rhombus is the best answer.
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05/27/20
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Sona K.
thank you :)05/26/20