Transformation involves moving a shape away from its original position
- The transformation to move the cabinet to a new position is translation
- The transformation to place the chair directly across the couch is reflection
<em>The required diagrams to answer this question are missing; so, I will provide a general exam</em>
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<u>(a) Moving the cabinets</u>
The question says that the cabinets are moved away from their original position.
Since terms like <em>"rotation" or "reflection"</em> are not used, then the general transformation used for "moving" is translation.
Hence, the transformation is translation
<u>(b) Changing the position of the chairs</u>
The question says that the chairs would be placed directly across the couch.
The term "directly across" is used for reflection of a shape.
Hence, the transformation is reflection
Read more about transformation at:
brainly.com/question/11709244