Final answer:
The composition R0,90° is not equivalent to the composition Tyo R0,90°, because applying transformations in a different order usually results in a different final position for the object being transformed.
Step-by-step explanation:
The question asks whether the composition of a 90° rotation about the origin (R0,90°) is equivalent to the composition of a translation along the y-axis (Tyo) followed by the same rotation (R0,90°). In terms of transformations, the order in which they are applied can significantly affect the outcome and are generally not commutable.
For instance, if you rotate an object 90° and then translate it up, it will end up in a different position if you had translated it up first and then rotated it. Therefore, R0,90° is not equivalent to Tyo R0,90° because the final positions of the object after these sequences of transformations will differ.