Subjects geometry

Reflect Jkl 3Fa394

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1. **Problem:** Reflect triangle JKL over the x-axis and find the coordinates of the image J'K'L'. 2. **Formula for reflection over the x-axis:** $$ (x, y) \to (x, -y) $$ This means the x-coordinate stays the same, and the y-coordinate changes sign. 3. **Given vertices:** - J(-7, -8) - K(-5, -2) - L(-2, -3) 4. **Apply the reflection formula:** - J' = (-7, \cancel{-8}^{8}) = (-7, 8) - K' = (-5, \cancel{-2}^{2}) = (-5, 2) - L' = (-2, \cancel{-3}^{3}) = (-2, 3) 5. **Algebraic representation:** The reflection over the x-axis is represented by $$ (x, y) \to (x, -y) $$ **Final answer:** - J'(-7, 8), K'(-5, 2), L'(-2, 3) - Algebraic representation: $$(x, y) \to (x, -y)$$