Subjects geometry

Quadrilateral Reflection 1E17B8

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1. **Problem statement:** Reflect the quadrilateral with vertices at $(-7,1)$, $(-6,4)$, $(-3,3)$, and $(-3,0)$ across the vertical line $n$ which is the $y$-axis ($x=0$). 2. **Reflection rule:** When reflecting a point $(x,y)$ across the $y$-axis, the $x$-coordinate changes sign while the $y$-coordinate remains the same. The formula is: $$ (x,y) \to (-x,y) $$ 3. **Apply the reflection to each vertex:** - $(-7,1) \to (7,1)$ - $(-6,4) \to (6,4)$ - $(-3,3) \to (3,3)$ - $(-3,0) \to (3,0)$ 4. **Result:** The reflected quadrilateral has vertices at $(7,1)$, $(6,4)$, $(3,3)$, and $(3,0)$. This completes the reflection of the quadrilateral over the line $n$ (the $y$-axis).