Questions about diagonals in squares and rectanges HELP :)

Question

Hi everyone--- I have been looking for an answer to this math question EVERYWHERE and I haven't been able to find it in any gmat math books! Can someone PLEASE HELP ME!

Any help/suggestions would GREATLY APPRECIATED!!! It's a math data sufficiency question. The question stem tells you that the two diagnoals (drawn from one corner to the opposite corner) in a quadrilateral is equal in length, can you conclude that the quadrilateral is a square or a rectangle or neither??? Statement 2 tells you that each of the angles in the quadrilateral is 90 degrees. Statement 2 alone cannot confirm whether this is a square or a rectangle, but what if you combine statement 1 and statement 2? will this be sufficient? THANKS A MILLION!!!!!!

Praetorian · Answer

I dont see Statement 1.

Statement 2 , by itself , is not sufficient.

The Diagonals are equal in length for both square and rectangle..The only thing different is the length of side.

slkp99 · Answer

Thank you so much for your response! I can't find the question so I wrote most of what I can remember. I am sorry! Once I find the question, I'll post it in full so it makes a little more sense!

Thanks again.

Vicky · Answer

praet i wud like to corret here.
The Diagonals are equal in length for both square and rectangle..The only thing different is the length of side.
This may not be true. Have u seen a "kite"... in india people fly a lot of it.
A kite is a quadrilateral that can have its diagonals equal and perpendicular to each other at the same time and still its neither a square/rectangle. Or to look at it simply just draw to lines perpendicular to each other and of equal length. Now one line can be moved vertically along the length of another line and at each instance a quad, can be formed by joining the 4 end points of these four lines. Do u see what i am saying...?
Whereas, if all the angles of a quadrilateral are 90 degress it must be a square or a rectangle. And then if it is given that both diagonals are equal. Still i can only say that it must be either square/rectangle (coz both have equal diagonals)
 correct me if i am wrong.
 -vicky

slkp99 · Answer

Thank you Vicky and Prat! I will find the question and then repost it! 
THANKS AGAIN GUYS!!!!

wonder_gmat · Answer

Do you think the question asks something like following:

Is the equadrilateral square?

1) Both diagonals are of the same length.
2) All angles are 90 degrees.


If it does then;
The answer would be E, because we're not told anything about the length of the sides. Since that's the only thing makes such rectangle a square.

slkp99 · Answer

THank you for all of your help! I am still looking for the question and I can't seem to find it anywhere!

Jasdeep · Answer

Hi frnd,

Both the statements are insufficient to answer the question. We need smthng on length to answer this question

sudzpwc · Answer

guys,
 r the diagnols of a rhombus equal and perpendicular to each other?

am1974 · Answer

Rhombus is defined as a quadrilateral with 4 equal sides. So it could be either square or a parallelogram with 4 equal sides. If it is Square, the diagonls will be EQUAL, BISECT and aso PERPENDICULAR to each other.

If it is NOT square, the then the diagonals will be UNEQUAL, NON-PERPENDICULAR and will BISECT each other (I am not sure about the bisect part. Can somebody confirm?)

am1974 · Answer

Vicky,

You made a good observation. Thanks for the post.

 

sudzpwc

Rhombus is defined as a quadrilateral with 4 equal sides. So it could be either square or a parallelogram with 4 equal sides. If it is Square, the diagonls will be EQUAL, BISECT and aso PERPENDICULAR to each other.

If it is NOT square, the then the diagonals will be UNEQUAL, NON-PERPENDICULAR and will BISECT each other (I am not sure about the bisect part. Can somebody confirm?)

Thanks

Questions about diagonals in squares and rectanges HELP :)

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