State with reasons whether the following statements are ‘true’ or ‘false’.

Every parallelogram is a rhombus.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every rhombus is a rectangle.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every rectangle is a parallelogram.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every square is a rectangle.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every square is a rhombus.

State with reasons whether the following statements are ‘true’ or ‘false’.

Every parallelogram is a rectangle.

In a quadrilateral $\mathrm{IJKL}$, side $\mathrm{IJ}\parallel$side $\mathrm{KL}$. $\angle \mathrm{I}=108°,\angle \mathrm{K}=53°$, then find the measures of $\angle \mathrm{L}$ and $\angle \mathrm{J}$.

In $\mathrm{ABCD}$, $\mathrm{BC}\left|\right|\mathrm{AD}$, side $\mathrm{AB}\cong$ sided $\mathrm{DC}$. If $\angle \mathrm{A}=72°$, then find the measures of$\angle \mathrm{B}$ and$\angle \mathrm{D}$.

In a quadrilateral $\mathrm{ABCD}$, side $\mathrm{BC}<$side $\mathrm{AD}$ and if side $\mathrm{BE}\cong$side $\mathrm{CD}$. Then, prove that $\angle \mathrm{ABC}\cong \angle \mathrm{DCB}$.