Rhombus

$\mathrm{PQRS}$  is a rhombus.

The diagonals of rhombus $ABCD$ intersect at $O$. If $AC=12 \mathrm{cm}$ and $BD=16 \mathrm{cm}$, find the length of its side.

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 $MX$.

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

Calculate $\angle ABC$ and $\angle BAD$ in the following figure:

Both the diagonals of a rhombus are equal.

Which step will come at fourth place when we construct a Rhombus when one diagonal and one side is given?

Necessary conditions for the construction of unique rhombus are

What are the necessary conditions for the construction of unique rhombus?

Construct a rhombus with side $5$ cm, and diagonal $6.8$ cm.

Construct a rhombus with the measure of diagonals is $5 \mathrm{cm}$ and $4 \mathrm{cm}$.

Construct a rhombus $ABCD$, in which length of the side $CD=6 \mathrm{cm}$ and diagonal $BD=8.5 \mathrm{cm}$.

Construct a rhombus $ABCD$, in which the length of the diagonals $AC=8 \mathrm{cm}$ and $BD=7 \mathrm{cm}$ are given.

Complete the description and name the shape.

Name: _____

Parallel Lines: 

Regular: 

Number of Sides: _____

$ABCD$ is a rhombus. Prove that the diagonals of the rhombus bisect each other and hence find $CO$ if $AO=3 \mathrm{cm}$. 

$ABCD$ is a rhombus. Prove that the diagonals of the rhombus bisect each other and hence find $DO$ if $BO=4 \mathrm{cm}$. 

Prove diagonals of rhombus are perpendicular to each other.

Construct the below-given rhombus by taking $\mathrm{BD}$ as a base instead of $\mathrm{AC}$.

Try to draw a rhombus whose one side is $4.5 \mathrm{cm}$ and its diagonal is $5 \mathrm{cm}$.

Draw a rhombus whose diagonals are $7.2 \mathrm{cm}$ and $5.6 \mathrm{cm}$ long.