Data Sufficiency

Adding a pic to help

(C) is answer

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...

[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.

Hi! It's been a long time since I read this thread, but happy to reiterate a couple of key points.

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.

Awesome question !

A Question to test your fundamentals of Geometry. Good Question

heshamelaziry wrote:Is quadrilateral RSTV a rectangle?

(1) The measure of ∠RST is 90 degrees
(2) The measure of ∠TVR is 90 degrees

C?

All four angles in a rectangle is 90

C the Answer.

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.

Night reader wrote:

ankurmit wrote:Can anyone provide me drawing for this

Hi Ankur, I am not artist so excuse my line drawing

Thanks, this drawing helps.