Subjects geometry

Reflection Y Axis 61C3Ca

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1. **State the problem:** We need to graph the image of rectangle JKLM after reflecting it over the y-axis. 2. **Recall the reflection rule:** Reflecting a point $(x,y)$ over the y-axis changes its coordinates to $(-x,y)$. 3. **Original vertices:** - $J(-10,-9)$ - $K(-8,-9)$ - $L(-8,1)$ - $M(-10,1)$ 4. **Apply reflection over the y-axis:** - $J' = (-(-10), -9) = (10, -9)$ - $K' = (-(-8), -9) = (8, -9)$ - $L' = (-(-8), 1) = (8, 1)$ - $M' = (-(-10), 1) = (10, 1)$ 5. **Plot the reflected rectangle:** Connect points $J'(10,-9)$, $K'(8,-9)$, $L'(8,1)$, and $M'(10,1)$ to form the reflected rectangle in the bottom-right quadrant. **Final answer:** The image of rectangle JKLM after reflection over the y-axis has vertices at $(10,-9)$, $(8,-9)$, $(8,1)$, and $(10,1)$.
J(-10,-9)K(-8,-9)L(-8,1)M(-10,1)J'(10,-9)K'(8,-9)L'(8,1)M'(10,1)