Question

For which set of data can a quadrilateral ABCD not be constructed?

In kite ABCD, AB = AD and CB = CD. Which set of measurements is enough to construct it?

Meena is given AB = 4 cm, BC = 5 cm, CD = 4.5 cm, DA = 3.5 cm and \angle A = 75^\circ for quadrilateral ABCD. Which first step lets her complete the construction?

Assertion (A): A quadrilateral cannot be uniquely constructed when only its four sides are given. Reason (R): A quadrilateral made of four rods hinged at the corners can change its shape without changing the side lengths.