Some Special Parallelograms

Calculate the the angle marked with $x$.

$\mathrm{PQRS}$  is a rhombus.

In the rhombus $MNOP$, $MO\text{ and} NP$ are the diagonals. If $MN= 5 \mathrm{cm}$ and $XN= 4 \mathrm{cm}$. Find the length of $MX$.

The perimeter of a rectangle is $62 \mathrm{cm}$. If its length is $24 \mathrm{cm}$, the length of each of its diagonal is

What is the measure of $\angle 1$ in the figure?

$\mathrm{LMNP}$ is a rectangle. Which is not an expression for $\mathrm{PX}$?

Construct a rhombus $\mathrm{PQRS}$, whose diagonal $\mathrm{PR}=6.2 \mathrm{cm}$ and diagonal $\mathrm{QS}=4.8 \mathrm{cm}$.

A _____ is both a rhombus and a rectangle.

Is rhombus a rectangle? Explain.

Is rectangle a rhombus? Explain.

Write the differences between Rectangle and Rhombus. 

Write the similarities between Rectangle and Rhombus. 

The length of each side of a rhombus park is $72 \mathrm{m}$ and altitude $18 \mathrm{m}$ and area is equal to the area of the rhombus. If the side of the square playground is $x \mathrm{m}$. Find the value of $x$.

The diagonals of a rectangle are of _____ length. $($equal$/$unequal$)$

Sam has to roll the ball from point A to the point C on the square board at one go. With respect to the side AB of the board, the angle with which he has to aim such that it hits the vertex C exactly is _____ degrees.

A circle is drawn with OA as the radius. Will the circle pass through points B, C and D?

In the given figure is ∠ ADB = ∠ DBC?

In the given figure if OA is 2x + 3 and OB is 4x then can we find the measure of the diagonal of the square.

In the given figure what kind of a triangle is ∆AOB?