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Name a single transformation that maps P...

Name a single transformation that maps P' to P''.

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To determine the single transformation that maps point P' to point P'', we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Coordinates of Points**: - Let P' have coordinates (2, 2). - Let P'' have coordinates (-2, -2). 2. **Understand the Transformation**: - We need to find a transformation that takes the coordinates of P' and transforms them into the coordinates of P''. 3. **Analyze the Change in Coordinates**: - The x-coordinate changes from 2 to -2, which indicates a reflection across the y-axis. - The y-coordinate changes from 2 to -2, which indicates a reflection across the x-axis. - However, if we consider both changes together, we can see that the transformation is actually a reflection through the origin. 4. **Conclusion**: - The transformation that maps P' to P'' is a reflection through the origin. 5. **Final Statement**: - Therefore, the single transformation that maps P' to P'' is the reflection in the origin.
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