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07 Mar 2023, 08:08
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
57% (00:43) correct
43%
(00:45)
wrong
based on 46
sessions
History
Date
Time
Result
Not Attempted Yet
Is quadrilateral ABCD a parallelogram?
(1) AB = BC
(2) CD = DA
(1) AB = BC
(2) CD = DA
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
14 Mar 2023, 11:49
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Bunuel
Basic property of a parallelogram is that opp. sides must be parallel and equal.
(1) AB = BC
We know two adjacent sides are equal in length but no info. about other sides.
INSUFF.
(2) CD = DA
Same as 1. We know two adjacent sides are equal in length but no info. about other sides.
INSUFF.
1+2
Attachment:
Geometry 2.png [ 12.24 KiB | Viewed 1734 times ]
Looking at the first fig. we can answer NO.
Looking at the second fig. we can answer YES.
INSUFF.
Ans=E
Hope it helps.
22 Mar 2023, 06:50
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Bunuel
Solution:
Pre Analysis:
- We are asked if ABCD is a parallelogram or not
Statement 1: AB = BC
- Adjacent sides equal doesn't necessarily mean ABCD is a parallelogram
- Thus, statement 1 alone is not sufficient and we can eliminate options A and D
Statement 2: CD = DA
- Just as statement 1, adjacent sides equal doesn't necessarily mean ABCD is a parallelogram
- Thus, statement 2 alone is also not sufficient
Combining:
- Same as both the statements, Adjacent sides equal doesn't necessarily mean ABCD is a parallelogram
- It can also be a Kite
Hence the right answer is Option E
