State whether each of the following statements is true or false:
$(1)$ Area of a parallelogram $= \text{base} \times \text{corresponding altitude}$.
$(2)$ Area of a rhombus $= \frac{1}{2} \times \text{Product of its diagonals}$.
$(3)$ Area of a square $= (\text{Side})^2$.

(A) $(1)$ False. The area of a parallelogram is given by the product of its base and the corresponding altitude,not half of it.
$(2)$ False. The area of a rhombus is half the product of its diagonals,i.e.,$\frac{1}{2} \times d_1 \times d_2$.
$(3)$ True. The area of a square is indeed the square of its side length.