Download Processing $$ and install it on your computer.

Create a drawing canvas with the window size of $800600$ pixels.

Use the background color, shape color, and stroke color of your choice.

Draw a shape on the drawing canvas by connecting all these following vertices:

$V=\left[\begin{array}{cccccccccc}0& 100& 100& 120& 80& 40& 60& 60& 0& 0\\ 0& 0& 100& 100& 140& 100& 100& 40& 40& 0\end{array}\right]$

Determine a $44$ matrix that produces each of the following composite $2$D transformations using homogeneous

coordinates.

a$.$ Translate by $(200,50)$ and then rotate $45$ degree about the origin

b$.$ Rotate $45$ degree about the origin and then translate by $(200,50)$

c$.$ Rotate $-90$ degree about the origin, then scale the $x-$coordinate by $2$ and the $y-$coordinate by $0\mathrm{.}5.$ After that translat

by $(400,300)$

d$.$ Scale the $x-$coordinate by $2$ and the $y-$coordinate by $0\mathrm{.}5,$ then rotate $-90$ degree about the origin. After that translat

by $(400,300)$

e$.$ Apply shear transformation along the $x-$axis with the factor of $1\mathrm{.}25,$ then reflect the shape through $y=x$

f$.$ Reflect the shape through $y=x,$ then apply shear transformation along the $x-$axis with the factor of $1\mathrm{.}25$

Apply EACH composite transformation matrix obtained in $5$ to transform the shape. $($You should obtain $6$ transformed

shapes.$)$

Take screenshots of the transformed shapes and the snapshot of your code