Question

In a quadrilateral ABCD, if AB = CD, BC = AD and AC ≠ BD, then ABCD is ………………

(A) parallelogram 

(B) trapezium 

(C) rhombus 

(D) square

Answer 1

Correct option is (A) parallelogram

In quadrilateral ABCD, given that AB = CD and BC = AD

i.e., two pair of opposite sides are equal.

\(\therefore\) ABCD is a parallelogram.

Also given that \(AC\neq BD\)

\(\therefore\) ABCD is not a rectangle.

All sides are not equal.

\(\therefore\) ABCD is not a rhombus and not a square.

Answer 2

Correct option is: (A) parallelogram