To determine the transformation used to go from an L shape facing downward (blue image) to an L shape facing upward (orange image), we need to analyze the orientation of the shapes.
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Reflection: This transformation flips the image over a line (axis of symmetry). For example, reflecting an L shape facing downward over a horizontal axis can change its orientation. In this case, however, the L is not simply reflected; it needs to be rotated.
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Rotation: This transformation involves turning the shape around a point (usually the origin or a pivot point).
- For an L shape facing downward, rotating it 90 degrees clockwise would turn it to face left, and rotating it 90 degrees counterclockwise would turn it to face right. Therefore, to go from downward to upward, the shape requires a rotation. In this specific case, it can be accomplished with a 180-degree rotation.
Based on this analysis, we can fill out your options:
- Reflection: False
- Rotation: True
- Clockwise: True (if the rotation is assumed to be clockwise)
- Counterclockwise: False (the correct rotation direction to achieve the upward orientation from downward may vary depending on the perspective, but a 180-degree rotation is consistent with the same effect either way)
So in summary:
- Reflection: False
- Rotation: True
- Clockwise: True (would be true in some interpretations)
- Counterclockwise: False
Keep in mind though that the rotation direction for 180 degrees (flipping it upside down) is independent of whether it's clockwise or counterclockwise since both would result in the same orientation.