# Using the World Transformation

The world transformation is a property of the Graphics class. The numbers that specify the world transformation are stored in a Matrix object, which represents a 3×3 matrix. The Matrix and Graphics classes have several methods for setting the numbers in the world transformation matrix.

## Different Types of Transformations

In the following example, the code first creates a 50×50 rectangle and locates it at the origin (0, 0). The origin is at the upper-left corner of the client area.

``````Rectangle rect = new Rectangle(0, 0, 50, 50);
Pen pen = new Pen(Color.FromArgb(128, 200, 0, 200), 2);
e.Graphics.DrawRectangle(pen, rect);
``````
``````Dim rect As New Rectangle(0, 0, 50, 50)
Dim pen As New Pen(Color.FromArgb(128, 200, 0, 200), 2)
e.Graphics.DrawRectangle(pen, rect)

``````

The following code applies a scaling transformation that expands the rectangle by a factor of 1.75 in the x direction and shrinks the rectangle by a factor of 0.5 in the y direction:

``````e.Graphics.ScaleTransform(1.75f, 0.5f);
e.Graphics.DrawRectangle(pen, rect);
``````
``````e.Graphics.ScaleTransform(1.75F, 0.5F)
e.Graphics.DrawRectangle(pen, rect)

``````

The result is a rectangle that is longer in the x direction and shorter in the y direction than the original.

To rotate the rectangle instead of scaling it, use the following code:

``````e.Graphics.ResetTransform();
e.Graphics.RotateTransform(28); // 28 degrees
e.Graphics.DrawRectangle(pen, rect);
``````
``````e.Graphics.ResetTransform()
e.Graphics.RotateTransform(28) ' 28 degrees
e.Graphics.DrawRectangle(pen, rect)

``````

To translate the rectangle, use the following code:

``````e.Graphics.ResetTransform();
e.Graphics.TranslateTransform(150, 150);
e.Graphics.DrawRectangle(pen, rect);
``````
``````e.Graphics.ResetTransform()
e.Graphics.TranslateTransform(150, 150)
e.Graphics.DrawRectangle(pen, rect)

``````