Assertion (A) : Every square is a parallelogram.

Reason (R) : In a square as well as in a parallelogram, the diagonals are equal in length.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

If bisectors of ∠A and ∠B of a parallelogram ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a :

1. rectangle

2. rhombus

3. parallelogram

4. quadrilateral whose opposite angles are supplementary

ABCD is a trapezium and P and Q are the mid-points of the diagonals of AC and BD. Then PQ is equal to :

1. $\dfrac{1}{2}$ AB

2. $\dfrac{1}{2}$ CD

3. $\dfrac{1}{2}$ (AB − CD)

4. $\dfrac{1}{2}$ (AB + CD)

The diagonals of a quadrilateral intersect at right angles and it has exactly one axis of symmetry. The quadrilateral is a :

1. square

2. rhombus

3. kite

4. none of these