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In the figure above, if ABCD is a parallelogram with A at the origin

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In the figure above, if ABCD is a parallelogram with A at the origin  [#permalink]

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New post 08 Mar 2019, 03:05
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:58) correct 31% (01:57) wrong based on 52 sessions

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Re: In the figure above, if ABCD is a parallelogram with A at the origin  [#permalink]

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New post 08 Mar 2019, 05:18
Bunuel wrote:
Image
In the figure above, if ABCD is a parallelogram with A at the origin what are the coordinates of C.

A. (6,5)
B. (6,6)
C. (7,4)
D. (8,5)
E. (8,6)

Attachment:
image007.jpg


seeing figure distance
AD = 4,3
AB = DC= 2,3 ; so C has to be 6,5
also AC= BC = 4,2 so c = 6,5
IMO A
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Re: In the figure above, if ABCD is a parallelogram with A at the origin  [#permalink]

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New post 09 Mar 2019, 03:05
1
Diagonals of a parallelogram bisect each other.
So, mid point of B and D is same as mid point of A and C.
Mid point of B and D =(3,5/2)
Since coordinates of A is (0,0) the coordinates of C will be twice of mid point we found above=>(6,5)
A is the correct choice.
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Re: In the figure above, if ABCD is a parallelogram with A at the origin  [#permalink]

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New post 10 Jun 2019, 03:19
Mid-point of the figure lies directly on a straight line from the origin.

Therefore midpoint * 2 = C.

Midpoint = (4+2)/2 & (3+2)/2 = 3/2.5

3/2.5 * 2 = C @ 6/5
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Re: In the figure above, if ABCD is a parallelogram with A at the origin   [#permalink] 10 Jun 2019, 03:19
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In the figure above, if ABCD is a parallelogram with A at the origin

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