Some Special Parallelograms

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. 

Uma has made a sweet chikki. She wanted it to be rectangular. In _____ ways she can verify that it is rectangular.

It is possible to construct the quadrilateral when measurement of four sides and one diagonal is given.

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 the measure of the diagonal is _____ units.

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?

Can the measure of the diagonals of the square be found if the measure of the sides of the square are given?

The property of squares which helps us to identify that ∆PQT is not possible with the given measures is

Is it possible to have a triangle given the measures as per the figure above?

In the given figure the measure of ∠ DBA is _____ degrees.

(Write the answer in numbers)