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If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in

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Bunuel
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If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in [#permalink] New post   05 Jul 2021, 01:30
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If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in the figure above?

A. (−8,8)
B. (4,−4)
C. (5,−5)
D. (2,−2)
E. (−4,4)


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Re: If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in [#permalink] New post   05 Jul 2021, 03:00
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AB=3, BC=6, CD=7 and DE=9

A = (2,-1)
B = (2,2)
C =(-4,2)
D = (-4,-5)
E = (5,-5)

IMO C
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Re: If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in [#permalink] New post   05 Jul 2021, 03:07
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AB=3, BC=6, CD=7 and DE=9

A = (2, -1)
B = (2, 2)
C = (-4, 2)
D = (-4, -5)
E = (5, -5)

IMO C


Bunuel wrote:

If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in the figure above?

A. (−8,8)
B. (4,−4)
C. (5,−5)
D. (2,−2)
E. (−4,4)


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Re: If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in [#permalink] New post   05 Jul 2021, 04:20
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If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in the figure above?


Drop a perpendicular from point A to DE, where line from A intersects DE at F.
CD = AF +BA
7= AF +3
AF =4

Y axis of the line = -1 + (-4) = -5
Only option with -5 as Y axis coordinate is C - Correct answer.

Please drop a kudos if you liked the solution. Cheers :)
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Re: If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in [#permalink] New post   05 Jul 2021, 05:34
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A = (2, -1)
Move up by 3 get B = (2, 2)
Move left by 6 get C = (-4, 2)
Move down by 7 get D = (-4, -5)
Move right by 9 get E = (5, -5) Ans = C
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If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in [#permalink] New post   06 Jul 2021, 00:30
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Bunuel wrote:

If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in the figure above?

A. (−8,8)
B. (4,−4)
C. (5,−5)
D. (2,−2)
E. (−4,4)




IMO C, To get x coordinates of E we need to add A's x coordinates distance hence its 5 .

i.e, 2+(9-6) = 5

So IMO C

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If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in [#permalink]
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