Question

becky is rearranging her living room furniture. she has a chair, table, and couch: chair, table, couch images
below are drawings of her living room before and after rearranging the furniture.
before and after furniture arrangement images
what transformation do the drawings represent?
dropdown options: one - half turn, one - quarter turn clockwise, one - quarter turn counterclockwise, translation

Explanation:

Step1: Analyze Furniture Positions

Compare "Before" and "After" layouts. The chair and table switch positions, and their orientations suggest a rotation. A one - half turn (180° rotation) would flip their orientations and move them as seen. A quarter - turn would have a different orientation change, and translation is just moving without rotation.

Step2: Evaluate Options

• "one - quarter turn clockwise" or "one - quarter turn counterclockwise" would not match the orientation and position change as well as a half - turn.
• "translation" is moving without rotation, which is not the case here.
• "one - half turn" (180° rotation) fits the change in position and orientation of the chair and table.

Answer:

A. one - half turn