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Math Expert V
Joined: 02 Sep 2009
Posts: 58452
In the figure above, EF is parallel to the y axis. If AB=CD=EF and BC=  [#permalink]

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2
6 00:00

Difficulty:   55% (hard)

Question Stats: 61% (01:37) correct 39% (01:40) wrong based on 170 sessions

HideShow timer Statistics In the figure above, EF is parallel to the y axis. If AB=CD=EF and BC=DE and the coordinates of point A are (10,3), what are the coordinates of point F?

(1) The coordinates of point D are (7,3).

(2) The coordinates of point C are (7,−1).

Attachment: T6136.png [ 4.65 KiB | Viewed 2236 times ]

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Manager  Joined: 05 Jun 2015
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Location: United States
WE: Engineering (Transportation)
Re: In the figure above, EF is parallel to the y axis. If AB=CD=EF and BC=  [#permalink]

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1
1) co-ordinates of D are (7,3)
=> BC = 3 = DE;
co-ordinates of E are (4,3)
length AB is not known, hence y co-ordinate of F is not known.
Not sufficient.

2) Given C (7,-1);
BC = 3 = DE
F = (4,-1)
2 is sufficient.

Option B
Manager  B
Joined: 28 Jun 2016
Posts: 214
Concentration: Operations, Entrepreneurship
Re: In the figure above, EF is parallel to the y axis. If AB=CD=EF and BC=  [#permalink]

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How did you get BC= 3 from statement 2??

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Board of Directors V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3580
Re: In the figure above, EF is parallel to the y axis. If AB=CD=EF and BC=  [#permalink]

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1
acegmat123 wrote:
How did you get BC= 3 from statement 2??

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X-coordinate of B is 10 and that of C is 7. Y coordinate of both B and C is same.

So, the distance between B and C will be the difference between their x - coordinates = 10-7 = 3

or if still not clear use the distance formula which is $$sqrt((difference between x coordinate)^2 + ( difference between y cooridante ) ^2 )$$.

Hence, B is sufficient.
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Re: In the figure above, EF is parallel to the y axis. If AB=CD=EF and BC=  [#permalink]

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B it is
Only B gives the coordinates of -ve y axis and a and C points combined together gives the equal distances of x axis .
Intern  B
Joined: 28 Mar 2018
Posts: 45
Re: In the figure above, EF is parallel to the y axis. If AB=CD=EF and BC=  [#permalink]

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Not sure if I’m looking at this the right way, but I imagined that I was making right triangles on the diagram. If I know the point C I would know AB and CB because of the change in horizontal/vertical axis. If know that and I know that EF=AB and DE=BC I should be able to find point F. Point D would let me find the horizontal length of the horizontal lines, but I’d have no way of knowing the Y axis changes Re: In the figure above, EF is parallel to the y axis. If AB=CD=EF and BC=   [#permalink] 05 Apr 2018, 12:41
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In the figure above, EF is parallel to the y axis. If AB=CD=EF and BC=

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