NandishSS wrote:
chetan2u wrote:
Bunuel wrote:
Is quadrilateral ABCD a square?
(1) A = C = 90º
(2) AB = AD
Ans will not be C but E..
statement I..
A=C=90
the triangle can be rectangle or square or any other possiblity too..
Insuff
statement II
AB=AD
nothing much
insuff
combined..
you can still have it as any other quadrilateral or as a square
see attached figureE
chetan2u Bhai,
How could be A = C = 90º in the first fig?
Hi Nandish
I think it IS indeed possible for a quadrilateral ABCD to have AB=AD, angle A = angle C = 90 degrees, and yet not be a square.
I have attached a pic of a figure similar to that of Chetan's first figure. If you would look at my pic, I first made AB=AD = 3 cm each, with an angle of 90 degrees between them. Then I made a tilted long line DX from D (this line is obviously NOT inclined at 90 with AD) - then on this line DX I chose one particular point C, from where CB will be aligned at 90 degrees to DX.
In my figure, DC is < 3 and CB is > 3. So its a figure slightly similar to Chetan's figure, where both conditions of question are being satisfied, yet its not a square.
Attachments
IMG_20180214_203201_3.jpg [ 23.12 KiB | Viewed 2329 times ]