A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation
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The given rule (x, y) †’ (x, y) translates to "the coordinates of each point (x, y) in the parallelogram remain unchanged." Therefore, another way to state this transformation is that the parallelogram undergoes a translation with a magnitude of zero in both the x and y directions.
The rule (x, y) → (x, y) means that the transformation does not change the position of the points in the parallelogram. In other words, the transformation is an identity transformation, which means that the image of each point coincides with its pre-image.
Another way to state this transformation is to say that it is a translation of zero units in both the x and y directions. This means that every point in the parallelogram will remain in the same position after the transformation.