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Is the composition R0,90° equivalent to the composition Tyo R0,90º? Explain your answer.

1 Answer

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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.

User Patrick Mcvay
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