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26 May 2021, 04:30
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Difficulty:
55%
(hard)
Question Stats:
46% (01:10) correct
54%
(01:09)
wrong
based on 114
sessions
History
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Is quadrilateral ABCD a square?
(1) ABCD is a rectangle whose diagonals intersect at right angles.
(2) AC, a diagonal of ABCD, is also the hypotenuse of isosceles right triangles ABC and ADC.
(1) ABCD is a rectangle whose diagonals intersect at right angles.
(2) AC, a diagonal of ABCD, is also the hypotenuse of isosceles right triangles ABC and ADC.
26 May 2021, 05:13
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Solution:
St(1):- ABCD is a rectangle whose diagonals intersect at right angles.
Sufficient information to provide that ABCD is a square.
St (2):-AC, a diagonal of ABCD, is also the hypotenuse of isosceles right triangles ABC and ADC.
=>Adjacent sides equal; angle ABC and angle ADC are 90 degrees with the diagonal bisecting the other two angles creating
angle angle BAC=angle BCA =Angle ACD =angle DAC=45 degree each
=>ABCD is a square. (Sufficient) (option d)
Devmitra Sen
GMAT SME
St(1):- ABCD is a rectangle whose diagonals intersect at right angles.
Sufficient information to provide that ABCD is a square.
St (2):-AC, a diagonal of ABCD, is also the hypotenuse of isosceles right triangles ABC and ADC.
=>Adjacent sides equal; angle ABC and angle ADC are 90 degrees with the diagonal bisecting the other two angles creating
angle angle BAC=angle BCA =Angle ACD =angle DAC=45 degree each
=>ABCD is a square. (Sufficient) (option d)
Devmitra Sen
GMAT SME
29 May 2021, 06:45
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