Subjects geometry

Reflection X Axis Fc871B

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1. **Problem Statement:** Reflect the given rectangle across the x-axis. 2. **Understanding Reflection Across the x-axis:** When a point $(x,y)$ is reflected across the x-axis, its x-coordinate remains the same, but the y-coordinate changes sign. The formula for reflection across the x-axis is: $$ (x,y) \to (x,-y) $$ 3. **Given Points:** The rectangle has vertices at: - $C = (2,3)$ - $H = (2,5)$ - $G = (4,5)$ - $E = (4,3)$ 4. **Apply Reflection Formula:** Reflect each vertex across the x-axis: - $C' = (2,-3)$ - $H' = (2,-5)$ - $G' = (4,-5)$ - $E' = (4,-3)$ 5. **Result:** The reflected rectangle has vertices at $C'(2,-3)$, $H'(2,-5)$, $G'(4,-5)$, and $E'(4,-3)$. This completes the reflection of the rectangle across the x-axis.