Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.

Assertion (A)	Reason (R)
The diagonals of a ||gm bisect each other.	If the diagonals of a ||gm are equal and intersect at right angles, then the parallelogram is a square.

Assertion (A)

Reason (R)

In a rhombus ABCD, the diagonal AC bisects ∠A as well as ∠C.

The diagonals of a rhombus bisect each other at right angles.

Assertion (A)

Reason (R)

Every parallelogram is a rectangle.

The angle bisectors of a parallelogram form a rectangle.

Column I

Column II

(a) Angle bisectors of a parallelogram form a

(p) parallelogram

(b) The quadrilateral formed by joining the mid-points of the pairs of adjacent sides of a square is a

(q) rectangle

(c) The quadrilateral formed by joining the mid-points of the pairs of adjacent sides of a rectangle is a

(r) square

(d) The figure formed by joining the mid-points of the pairs of adjacent sides of a quadrilateral is a

(s) rhombus

Column I

Column II

(a) In the given figure, ABCD is a trapezium in which AB = 10 cm and CD = 7 cm. If P and Q are the mid-points of AD and BC respectively, then PQ =

(p) equal

(b) In the given figure, PQRS is a ||gm whose diagonals intersect at O. If PR = 13 cm, then OR =

(q) at right angles

(c) The diagonals of a square are

(r) 8.5 cm

(d) The diagonals of a rhombus bisect each other

(s) 6.5 cm