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QUESTION IMAGE

2. rotate this figure 180 degrees counterclockwise.

Question

  1. rotate this figure 180 degrees counterclockwise.

Explanation:

Step1: Recall 180° rotation rule

A 180° counterclockwise (or clockwise) rotation of a point \((x,y)\) around the origin is \((-x,-y)\), which flips the figure both horizontally and vertically. For the given arrow - shaped figure pointing down, after 180° rotation, it should point up (since flipping vertically and horizontally will reverse its direction 180°).

Step2: Analyze the options

  • The first option: The arrow is pointing in a direction that is not a 180° rotation of the original (it's a 90° - like rotation maybe).
  • The second option: The arrow is pointing up, which matches the result of a 180° rotation of the original arrow (which was pointing down).
  • The third option: The arrow is pointing right, which is not a 180° rotation.
  • The fourth option: The arrow is pointing in a direction that is not a 180° rotation.

Answer:

The second option (the one with the arrow pointing up)