Subjects geometry

Reflection X Axis 82514D

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1. **State the problem:** We are given points M(0,-10), K(8,-10), and L(8,0) and asked to find their coordinates after reflecting over the x-axis. 2. **Formula for reflection over the x-axis:** When a point $(x,y)$ is reflected over the x-axis, its image is $(x,-y)$. 3. **Apply the formula to each vertex:** - For $M(0,-10)$, reflection gives $M'(0,-(-10)) = M'(0,10)$. - For $K(8,-10)$, reflection gives $K'(8,-(-10)) = K'(8,10)$. - For $L(8,0)$, reflection gives $L'(8,-0) = L'(8,0)$. 4. **Final answer:** The reflected vertices are $M'(0,10)$, $K'(8,10)$, and $L'(8,0)$. This means the points are flipped vertically across the x-axis, changing the sign of their y-coordinates.