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In the rectangular coordinate system shown, ABCD is a parall

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In the rectangular coordinate system shown, ABCD is a parall [#permalink] New post   23 Mar 2019, 08:44
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In the rectangular coordinate system shown, ABCD is a parallelogram. If the coordinates of the points A, B, C, and D are (0, 2), (a, b), (a, 2), and (0, 0), respectively, then b =

(A) 0

(B) 2

(C) 3

(D) 4

(E) 5
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Re: In the rectangular coordinate system shown, ABCD is a parall [#permalink] New post   19 Feb 2020, 01:19
Can someone please explain this?
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Re: In the rectangular coordinate system shown, ABCD is a parall [#permalink] New post   19 Feb 2020, 08:47
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Though, ABCD is a rectangular, so that AD=BC, And CM=2, Again AD=2 so that, BC = 2 becaouse According to rectangular formula AD=BC, BM=2+2=4 henceb=4
Answer is 4
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Re: In the rectangular coordinate system shown, ABCD is a parall [#permalink] New post   19 Feb 2020, 09:57
any alternative way to solve this
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Re: In the rectangular coordinate system shown, ABCD is a parall [#permalink] New post   14 Aug 2022, 02:43
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Parallelogram has two pairs of parallel sides.
In this case AB=DC (or AD=BC), this means that
from point A to point B, which is b-2 is equal to point D to C, which is 2-0
So, b-2 = 2-0
Hence b = 4
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Re: In the rectangular coordinate system shown, ABCD is a parall [#permalink]
14 Aug 2022, 02:43
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