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

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New post 08 Nov 2016, 23:06
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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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New post 08 Nov 2016, 23:45
Bunuel wrote:
Image
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
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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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New post 09 Nov 2016, 04:46
Bunuel wrote:
Image
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)

Answer: Option 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]

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New post 06 Nov 2019, 07:12

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.

Answer: 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]

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New post 09 Dec 2019, 16:52
Bunuel wrote:
Image
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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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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