Subjects geometry

Reflect Y 1B72D6

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Question: b) Reflect the letter $Y$ in the vertical line. Do this in red. Now reflect it in the horizontal line, in green.
1. **Problem Statement:** Reflect the letter $Y$ first across the vertical line (y-axis) and then across the horizontal line (x-axis). 2. **Reflection Rules:** - Reflection across the vertical line (y-axis) changes the $x$-coordinate of each point to its opposite, i.e., $(x,y) \to (-x,y)$. - Reflection across the horizontal line (x-axis) changes the $y$-coordinate of each point to its opposite, i.e., $(x,y) \to (x,-y)$. 3. **Step 1: Reflect $Y$ across the vertical line (y-axis):** - For each point $(x,y)$ on the $Y$, the reflected point is $(-x,y)$. - This reflection is drawn in red. 4. **Step 2: Reflect $Y$ across the horizontal line (x-axis):** - For each point $(x,y)$ on the $Y$, the reflected point is $(x,-y)$. - This reflection is drawn in green. 5. **Summary:** - The original $Y$ is above the x-axis and slightly left of the y-axis. - The red reflected $Y$ is the mirror image across the vertical line. - The green reflected $Y$ is the mirror image across the horizontal line. This completes the reflections as requested.