How many lines of symmetry does a parallelogram have? $\left(0/1/2/3\right)$

A rectangle is rotated by ${90}^{\circ }$ and even then it remains symmetrical about its center of rotation. Are they equal or different ?

a. Rhombus
b. Rectangle
c. Trapezium
d. Parallelogram

The area of a square is $144 \mathrm{sq} \mathrm{cm}$. If the area of its image along the horizontal mirror is $x {\mathrm{cm}}^2$, find $x$.