Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of these is a true statement?

The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.
The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.
The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.
The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.

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Answer: The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation: Since a dilation is not performed, the shape and size stay the same no matter how it is moved throughout the coordinate plane.

The true statement is (a) The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

From the question, we have the following transformations

  1. Rotation
  2. Translation

Rotation and translation are rigid transformations, and they do not change the side lengths or angle measures

Hence, the resulting rectangle will be congruent to the original rectangle

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