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Geometry

Expert replies
Source: — Data Sufficiency |

by Rahul@gurome » Mon Jul 12, 2010 10:49 pm
Image

(1) Measure of angle RST = 90º does not imply that RSTV is a rectangle.
So, (1) is NOT SUFFICIENT.

(2) Measure of angle TVR = 90º does not imply that RSTV is a rectangle.
So, (2) is NOT SUFFICIENT.

Combining (1) & (2) also we cannot conclude that RSTV is a rectangle, as it can also be a square. So, given information is NOT SUFFICIENT.

[spoiler]The correct answer is (E).[/spoiler]
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by gmatmachoman » Mon Jul 12, 2010 11:21 pm
vijaynarayanan wrote:Image

I feel the answer should be C. Can anyone explain why it is E?

You might have picked C, having they provided :LSTV or LSRV = 90
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by vijaynarayanan » Mon Jul 12, 2010 11:55 pm
Rahul@gurome wrote:Image

(1) Measure of angle RST = 90º does not imply that RSTV is a rectangle.
So, (1) is NOT SUFFICIENT.

(2) Measure of angle TVR = 90º does not imply that RSTV is a rectangle.
So, (2) is NOT SUFFICIENT.

Combining (1) & (2) also we cannot conclude that RSTV is a rectangle, as it can also be a square. So, given information is NOT SUFFICIENT.

[spoiler]The correct answer is (E).[/spoiler]
but all squares are rectangles. the sum of the other 2 angles will be 360-90-90=180. the only option would be to have all angles as 90. if opp sides are equal in length we still need not have a square but ofcourse a rectangle. hence C should be correct.
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by Rahul@gurome » Tue Jul 13, 2010 3:18 am
This can be also the case but here the quadrilateral is not a rectangle.

Image
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by vijaynarayanan » Tue Jul 13, 2010 5:33 am
Rahul@gurome wrote:This can be also the case but here the quadrilateral is not a rectangle.

Image
Aaah... your picture says a thousand words. I get your point. Thanks for helping me think out of the box :D
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by Rahul@gurome » Tue Jul 13, 2010 5:47 am
vijaynarayanan wrote:
Aaah... your picture says a thousand words. I get your point. Thanks for helping me think out of the box :D
U r welcome!
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