Data Sufficiency

Hi ppl,

try to solve this one.


ABCD is a quadrilateral. Is AB=BC=CD=DA?
1. AC is perpendicular to BD
2. AB+CD = BC+ AD

• Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
• Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
• EACH statement ALONE is sufficient
• Statements (1) and (2) TOGETHER are NOT sufficient

My explanation would be:

Since statement 1 says diagonals are perpendicular to each other, it is a rhombus and thus this stat is sufficient.

and
since statement 2 doesnt give a clue whether sides are equal or not.
Insufficient

hence, my ans will be A.

what do u guys say??


thanks,
nitug