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To mirror a ray in a 2-dimensional plane, follow these steps:

1. Draw the ray and the line of reflection, which is a straight line that the ray will be reflected across.
2. Draw a perpendicular line from the ray to the line of reflection, marking the point of intersection.
3. Draw a line that connects the point of intersection to the point where the ray intersects the line of reflection.
4. This new line is the reflected ray, which is the mirror image of the original ray across the line of reflection.

Note: The angle between the original ray and the reflected ray will be the same as the angle between the original ray and the perpendicular line.