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C
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Difficulty:
15%
(low)
Question Stats:
74% (00:30) correct
26%
(00:38)
wrong
based on 575
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Attachment:
ABCD.png [ 10.14 KiB | Viewed 18595 times ]
(1) AB = BC = CD = DA
(2) AC = BD
In this question - How come the answer is C?
In Square the diagonals bisect each other at 90 degrees and are equal. How do we know that diagonals are bisecting each other at 90 degrees?
In Square the diagonals bisect each other at 90 degrees and are equal. How do we know that diagonals are bisecting each other at 90 degrees?
11 Feb 2012, 14:48
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Attachment:
ABCD.png [ 10.14 KiB | Viewed 18480 times ]
(1) AB = BC = CD = DA --> both square and rhombus have all four sides equal in length. Not sufficient.
(2) AC = BD --> both square and rectangle have diagonals equal in length. Not sufficient.
(1)+(2) ABCD is a square. Sufficient.
Answer: C.
Useful property: if the diagonals of a rhombus are equal, then that rhombus must be a square. So you can apply this for (1)+(2) and conclude that ABCD must be a square.
Check Polygons chapter of Math Book for more useful properties and tips: math-polygons-87336.html
Hope it helps.
General Discussion
05 Aug 2013, 19:07
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from 1 it is clear that it is either a rhombus or a square as all sides are equal.
from 2 it is established that it is a square as IN A RHOMBUS DIAGONALS ARE NOT EQUAL.
hence C.
from 2 it is established that it is a square as IN A RHOMBUS DIAGONALS ARE NOT EQUAL.
hence C.
