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31 Jul 2017, 00:58
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B
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Difficulty:
45%
(medium)
Question Stats:
52% (01:09) correct
48%
(01:17)
wrong
based on 188
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ABCD is a quadrilateral in which angle A is 90°.Is ABCD a rectangle?
1. Angle B+Angle D =180°
2. The quadrilateral ABCD is a parallelogram.
1. Angle B+Angle D =180°
2. The quadrilateral ABCD is a parallelogram.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
31 Jul 2017, 01:01
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DH99
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28 Nov 2019, 07:24
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JiddiHuMain
Firstly please search before posting..
(1) \(\angle B + \angle D = 180°\).
So, \(\angle A + \angle C = 90°\), but B and D could be anything totaling to 180.
(2) The quadrilateral ABCD is a parallelogram.
If ABCD is a parallelogram, opposite angles are equal, so \(\angle A = \angle C = 90°\).
\(\angle B = \angle D\), and their sum should be 180, so \(\angle B = \angle D=90°\)
Thus ABCD is a rectangle for sure, and if its sides are equal, it may even be square.
Suff
B
