Is Figure A a square?
(1) Figure A is a parallelogram.
(2) All four sides of Figure A are 3 inches long and Figure A has at least one right angle.
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A a square
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- sanju09
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Statement 1: Figure A is a parallelogram.sanju09 wrote:Is Figure A a square?
(1) Figure A is a parallelogram.
(2) All four sides of Figure A are 3 inches long and Figure A has at least one right angle.
https://www.gmatexampracticetests.com
Opposite sides are parallel.
Figure A could be a square.
Figure A could be a rhombus.
Insufficient.
Statement 2: All four sides of Figure A are 3 inches long and Figure A has at least one right angle.
By definition, a quadrilateral with 4 equal sides and at least 1 right angle is a square.
Sufficient.
The correct answer is B.
Here's a proof for Statement 2:
Let's call the figure ABCD.
Since all 4 sides are equal, ABCD is a square or a rhombus.
In both a square and a rhombus, opposite angles are equal.
Thus, if angle A = 90, then angle C = 90.
Since the sum of all 4 angles is 360, B+D = 360-90-90 = 180.
Since B and D must be equal, B=D=90.
Thus, all four angles are 90 degrees, all four sides are equal, and ABCD is a square.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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