Quadrilateral
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- ronnie1985
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Stuart, what question you have raised is nice to understand but not practical from the GMAT point of view. When it comes the chapter of quadrilaterals, the GMAT only considers, the basic figures and no glued figures are included to study their properties. Glued figures can have 'n' number of properties on their shape in a particular question.
Here the confusion was only between a rectangle and a square and so you could not decide whether it is only going to a rectangle.
Hence the correct answer is E.
The figure that you drew was correct but there can be 'n' number of figures with such properties.
I do not think that the GMAT will go so much out of the box.
In such a way you can draw a figure, whose all 4 sides are equal and also have the diagonals equal but still not frame a rhombus. Glued figures are out of scope on the gmat
What do the other guyzz have to feel about that...
Here the confusion was only between a rectangle and a square and so you could not decide whether it is only going to a rectangle.
Hence the correct answer is E.
The figure that you drew was correct but there can be 'n' number of figures with such properties.
I do not think that the GMAT will go so much out of the box.
In such a way you can draw a figure, whose all 4 sides are equal and also have the diagonals equal but still not frame a rhombus. Glued figures are out of scope on the gmat
What do the other guyzz have to feel about that...
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Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
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Hi! It's been a long time since I read this thread, but happy to reiterate a couple of key points.[email protected] wrote:Stuart, what question you have raised is nice to understand but not practical from the GMAT point of view. When it comes the chapter of quadrilaterals, the GMAT only considers, the basic figures and no glued figures are included to study their properties. Glued figures can have 'n' number of properties on their shape in a particular question.
Here the confusion was only between a rectangle and a square and so you could not decide whether it is only going to a rectangle.
Hence the correct answer is E.
First, and I can't stress this enough: a square IS by definition a rectangle, since it has all the properties of a rectangle. The opposite is not true (i.e. a rectangle is not by definition a square).
So, if we could narrow this shape down to a square rectangle or a non-square rectangle, the answer would have been C, together.
Second, all quadrilaterals are fair game on the GMAT. Remember, "quadrilateral" just means 4-sided enclosed shape. While squares and rectangles are the most commonly tested quadrilaterals, higher-end GMAT questions will test your general knowledge as well.
As illustrated by the wonderful diagrams provided by two of the posters in this thread, it's possible to draw a shape that fits both statements but that does not have 4 90 degree angles (which is what it takes to be a rectangle). Accordingly, even together there isn't enough info to answer the question: choose E.
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C?heshamelaziry wrote:Is quadrilateral RSTV a rectangle?
(1) The measure of ∠RST is 90 degrees
(2) The measure of ∠TVR is 90 degrees
All four angles in a rectangle is 90
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- jaspreetsra
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For a rectangle, each of four angles must be 90 degrees.
1) the measure of angle RST is 90 degrees i.e.∠S = 90º - NS
2)The measure of angle TVR is 90 degrees i.e. ∠V = 90º - NS
from (1) and (2)
for a Quad.,sum of four angles = 360º.
In the given case ∠S+∠V+∠T+∠R = 90º+90º+∠T+∠R =360º
∠T and ∠R are unknown.
So, E is the right option.
1) the measure of angle RST is 90 degrees i.e.∠S = 90º - NS
2)The measure of angle TVR is 90 degrees i.e. ∠V = 90º - NS
from (1) and (2)
for a Quad.,sum of four angles = 360º.
In the given case ∠S+∠V+∠T+∠R = 90º+90º+∠T+∠R =360º
∠T and ∠R are unknown.
So, E is the right option.
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IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in our free video: https://www.gmatprepnow.com/module/gmat- ... cy?id=1103heshamelaziry wrote:Is quadrilateral RSTV a rectangle?
(1) The measure of ∠RST is 90 degrees
(2) The measure of ∠TVR is 90 degrees
This technique can save a lot of time.
For this question, the COMBINED statements tell us that the opposite angles are each 90 degrees.
Does this information LOCK the quadrilateral into being a rectangle?
No.
It COULD be a rectangle, or it COULD also be the shape that Night reader posted:
Since the combined statements do not GUARANTEE a rectangle, the correct answer is E
Here are a few more DS Geometry questions to practice with:
- https://www.beatthegmat.com/good-ds-ques ... 70971.html
- https://www.beatthegmat.com/what-is-the- ... 74620.html
- https://www.beatthegmat.com/what-is-the- ... 77326.html
- https://www.beatthegmat.com/geometry-tri ... 71836.html
- https://www.beatthegmat.com/ds-2-t278892.html
- https://www.beatthegmat.com/coordinate-g ... 77659.html
Cheers,
Brent
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Thanks, this drawing helps.Night reader wrote:Hi Ankur, I am not artist so excuse my line drawingankurmit wrote:Can anyone provide me drawing for this