Answer: The answer is 1, 2 and 4.
Step-by-step explanation:
(1) The quadrilateral with congruent diagonals but no angle is a right angle is an ISOSCELES TRAPEZOID. So, this will not be a parallelogram.
(2) The quadrilateral with two consecutive congruent sides and is not a rhombus is a KITE. So, this will not be a parallelogram
(3) A quadrilateral with each diagonal 3 cm long and two opposite sides 2 cm long will be a RECTANGLE. So, this will be a parallelogram.
(4) A quadrilateral with two opposite angles as right angles is not a rectangle will be a KITE. so, this will also be not a parallelogram.
(5) A quadrilateral in which one diagonal is a perpendicular bisector of the other will be a SQUARE. So, this will be a parallelogram.
Thus, (1), (2) and (4) are the correct options.
