A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

R0, 90°
R0, 180°
R0, 270°
R0, 360°

1 answer

The transformation rule given is \( (x, y) \to (x, y) \). This means that every point of the parallelogram remains unchanged after the transformation.

This transformation represents a rotation about the origin by an angle of 0 degrees (R0, 0°), which keeps the shape and position of the parallelogram intact. However, among the options given, 360° (which is a full rotation back to the same position) is also equivalent to no transformation at all.

Thus, the most appropriate way to state the transformation using the options provided is:

R0, 360°