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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in

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Math Expert V
Joined: 02 Sep 2009
Posts: 61484
If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in  [#permalink]

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1
2 00:00

Difficulty:   15% (low)

Question Stats: 79% (01:26) correct 21% (01:53) wrong based on 141 sessions

### HideShow timer Statistics 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)

Attachment: T6178.png [ 7.81 KiB | Viewed 2095 times ]

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

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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)

Attachment:
The attachment T6178.png is no longer available

IMO C
Figure attached for solution
Attachments WhatsApp Image 2016-11-09 at 1.13.10 PM.jpeg [ 51.74 KiB | Viewed 1810 times ]

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

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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)

Attachment:
T6178.png

Co-ordinates of Point B = (2, 2) (Same x co-ordinate as that of A and Y co ordinate 3 units up than y co ordinate of A)

Co-ordinates of Point C = (-4, 2) (Same Y co-ordinate as that of B and X co-ordinate 6 units Left than X co-ordinate of B)

Co-ordinates of Point D = (-4, -5) (Same x co-ordinate as that of C and Y co-ordinate 7 units Down than Y co-ordinate of C)

Co-ordinates of Point E = (5, -5) (Same Y co-ordinate as that of D and X co-ordinate 9 units Right than X co-ordinate of D)

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

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Official Explanation

You could waste time finding both the x- and the y-coordinates of point E, but you don't have to go that far. Focus on the x-coordinate first, and then glance at the answer choices. Can you eliminate a few?

Since parallel lines CB=6 and DE=9 begin from the same line CD, the x-coordinate of point E is larger by 9−6=3 than that of point B (in other words, point E is three coordinates to the right of B). Since BA is parallel to CD, the x-coordinate of point B is equal to that of point A=2. Thus, the x-coordinate of E is 2+3=5.
Only answer choice C has an x-coordinate of 5, so this is the right answer.

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GMAT 1: 600 Q46 V27 Re: If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in  [#permalink]

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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)

Attachment:
T6178.png

Just focus on the x-axis. You're moving 3 units right from point given; that makes x co-ordinate as 5. Only option C.
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You are missing on great learning if you don't know what this is: Project SC Butler Re: If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in   [#permalink] 09 Dec 2019, 16:52
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# If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in  