A figure can be dilated using a compass and a straightedge.
The figure should be dilated with the point as the center of dilation and a scale factor of Using a straightedge, rays are drawn from through the vertices of the quadrilateral.
A dilation scales the lengths between the center of dilation and the vertices of the figure with a scale factor, creating an image of the figure. Using the scale factor the dilation will be an enlargement. To be able to scale the segments, the distance of each vertex from the center is measured with a compass. Place the needle point at and the pencil at one of the figure's vertices.
With the scale factor the length from to the image vertex should be times the length of By moving the compass three times along the ray keeping the same length on the compass, the position for is found. Let the pencil of the last compass mark the position.
This process should now be repeated for the vertices and When all of the image's vertices are marked, it's possible to draw the image.
Finally, segments are drawn between the image vertices , and with a straightedge, creating the quadrilateral