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Is Quadrilateral ABCD a Rectangle? 1) Diagonals of ABCD Bis

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by GMATinsight » Sun May 07, 2017 8:23 pm
Is Quadrilateral ABCD a Rectangle?

1) Diagonals of ABCD Bisect each other at 90 degrees
2) Diagonals of ABCD are equal in dimension

Source: www.GMATInsight.com

Answer: Option C
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by susheelh » Tue May 23, 2017 9:21 pm
Hi,

This is how I solved. Please correct me if I am wrong.

Question stem : Is the Quadrilateral ABCD a rectangle - Yes/No?

S1: ABCD could be a Rombus or a Square. two possibilities, Insuff.
S2: ABCD could be a square or a rectangle. two possibilities, insuff
S1+S2: ABCD is a square.One possibility, sufficient.
Final answer: C
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by Brent@GMATPrepNow » Wed May 24, 2017 4:46 am
susheelh wrote:Hi,

This is how I solved. Please correct me if I am wrong.

Question stem : Is the Quadrilateral ABCD a rectangle - Yes/No?

S1: ABCD could be a Rombus or a Square. two possibilities, Insuff.
S2: ABCD could be a square or a rectangle. two possibilities, insuff
S1+S2: ABCD is a square.One possibility, sufficient.
Final answer: C
Close, but not quite.
S2: if it were the case that quadrilateral ABCD is either a square or a rectangle, then S2 would be sufficient because a square is a type of rectangle.
However, for S2, quadrilateral ABCD could also be an isosceles trapezoid, in which case S2 is NOT sufficient.

More on quadrilaterals here: https://www.gmatprepnow.com/module/gmat ... /video/874

Cheers,
Brent
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by susheelh » Wed May 24, 2017 7:48 am
WooW! Thanks for the correction Brent!

Though I now realise that Square and Rectangle are both essentially Rectangles - I did not have an Idea that Isosceles trapezoid has diagonals of same length! Thanks for teaching me something new today. Thanks also for the great video :).

With Regards,
Susheel
Brent@GMATPrepNow wrote:
susheelh wrote:Hi,

This is how I solved. Please correct me if I am wrong.

Question stem : Is the Quadrilateral ABCD a rectangle - Yes/No?

S1: ABCD could be a Rombus or a Square. two possibilities, Insuff.
S2: ABCD could be a square or a rectangle. two possibilities, insuff
S1+S2: ABCD is a square.One possibility, sufficient.
Final answer: C
Close, but not quite.
S2: if it were the case that quadrilateral ABCD is either a square or a rectangle, then S2 would be sufficient because a square is a type of rectangle.
However, for S2, quadrilateral ABCD could also be an isosceles trapezoid, in which case S2 is NOT sufficient.

More on quadrilaterals here: https://www.gmatprepnow.com/module/gmat ... /video/874

Cheers,
Brent
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