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If a figure is translated by the rule T(3, -3). which translation moves the image back to the original position?

User Jonalogy
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Final answer:

To move a figure back to its original position after a translation of T(3, -3), we must apply the translation T(-3, 3). This reverse translation involves moving the figure 3 units left and 3 units up.

Step-by-step explanation:

If a figure is translated by the rule T(3, -3), it means the figure has been moved 3 units to the right and 3 units down. To move the image back to the original position, we need to apply the opposite translation. This is analogous to taking 5 steps forward and then taking 3 steps back, resulting in a position 2 steps forward from the original position.

The translation that moves the image back to the original position would be T(-3, 3). This translation essentially moves the figure 3 units to the left and 3 units up, returning it to its initial location. It's important to note that translation vectors are additive inverses of each other when they translate a figure back to its original position.

User Octopus
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