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Which of the following figures has an or...

Which of the following figures has an order of rotational symmetry 2?

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The correct Answer is:
To determine which of the given figures has an order of rotational symmetry of 2, we need to analyze each figure one by one. The order of rotational symmetry refers to the number of times a figure can be rotated about a central point and still look the same within one complete turn (360 degrees). ### Step-by-Step Solution: 1. **Understanding Rotational Symmetry**: - A figure has an order of rotational symmetry of 2 if it looks the same after a rotation of 180 degrees (half a turn). 2. **Analyzing Figure Z**: - When we rotate Z by 180 degrees, it does not look the same. Therefore, Z does not have an order of rotational symmetry of 2. 3. **Analyzing Figure G**: - Rotating G by 180 degrees also does not yield the same figure. Thus, G does not have an order of rotational symmetry of 2. 4. **Analyzing Figure P**: - Similar to Z and G, when we rotate P by 180 degrees, it does not match the original figure. Hence, P does not have an order of rotational symmetry of 2. 5. **Analyzing Figure H**: - Now, let’s consider H. When we rotate H by 180 degrees, it looks the same as the original figure. This means H has an order of rotational symmetry of 2. 6. **Conclusion**: - After analyzing all figures, we find that only figure H has an order of rotational symmetry of 2. ### Final Answer: The figure with an order of rotational symmetry of 2 is **H**.
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