Subjects geometry

Reflection Y Axis 88E70A

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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. **Reflection over the y-axis rule:** When a point $(x,y)$ is reflected over the y-axis, its image is $(-x,y)$. 3. **Identify original points:** Since rectangle JKLM is in the bottom-left area, all $x$-coordinates are negative. 4. **Apply reflection:** For each vertex of JKLM, change $x$ to $-x$ while keeping $y$ the same. 5. **Result:** The reflected rectangle will be in the bottom-right area with points mirrored to positive $x$-values. This means if $J=(-a,b)$, then $J'=(a,b)$, and similarly for $K, L, M$. Final answer: The image of rectangle JKLM after reflection over the y-axis has vertices at the points with $x$-coordinates negated from the original, moving it from bottom-left to bottom-right of the coordinate plane.
J K M L J' K' M' L'