Parallelograms on the same base and between the same parallel sides are:

In the given figure, $ABCD$ is a rhombus in which $\angle c=60°$, then $AC:BD$ will be

A rectangle with $12 \mathrm{cm}$ and $4 \mathrm{cm}$, reformed into a Rhombus. Both diagonals of Rhombus are equal and one of its angle is ${60}^{\mathrm{o}}$. Find the Area of Newly formed Rhombus.

In figure, $\mathrm{ABCD}$ is a parallelogram. Point$\mathrm{E}$ is on the ray $\mathrm{AB}$ such that $\mathrm{BE}=\mathrm{AB}$, then prove that line $\mathrm{ED}$ bisects segment $\mathrm{BC}$ at point $\mathrm{F}$.

If the ratio of measures of two adjacent angles of a parallelogram is $1:2$, find the measures of all angles of the parallelogram.

Perimeter of a parallelogram is $150 \mathrm{cm}$. One of its sides is greater than the other side by $25 \mathrm{cm}$. Find the lengths of all sides.

Prove that quadrilateral formed by the intersection of angle bisectors of all angles of a parallelogram is a rectangle.

In the given figure, if

seg $AB \parallel$ seg $PQ$, seg $AB \cong$ seg $PQ$,

seg $AC \parallel$ seg $PR$, seg $AC\cong$ seg $PR$,

then prove that,

seg $BC \parallel$ seg $QR$ and seg $BC\cong$ seg $QR$.

Diagonals of a parallelogram divide it into four congruent triangles.