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Which of these transformations describes sliding a box across the floor?

A. Dilation
B. Reflection
C. Rotation
D. Translation

1 Answer

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Final answer:

The transformation that corresponds to sliding a box across the floor is Translation, which involves moving an object in a straight line without rotating, resizing, or otherwise changing the object.

Step-by-step explanation:

The transformation that describes sliding a box across the floor is known as a Translation. This type of transformation involves moving an object from one place to another without rotating, resizing, or changing the object in any other way. It is essentially a push or slide of the object in a straight line. For instance, if a person pushes a box from left to right, and the box continues to move across the floor, this action is a translation because the box is experiencing movement along a flat plane.

In contrast, a Dilation involves changing the size of an object, a Reflection is flipping an object over a line, and a Rotation means turning an object around a fixed point. None of these describe the straightforward sliding motion of a box across the floor that we would associate with translation.

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