Subjects geometry

Triangle Reflection 2C68Cc

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1. **Problem Statement:** Identify which of the triangles labeled A, B, or C is a reflection of the original triangle with vertices approximately at $(1,4)$, $(3,3)$, and $(2,1)$. 2. **Reflection Definition:** A reflection is a transformation producing a mirror image of a shape across a line (axis of reflection). The reflected shape has the same size and shape but reversed orientation. 3. **Check Triangle A:** Triangle A is described as reflected horizontally from the original triangle. This means each vertex $(x,y)$ of the original is mapped to $(x',y)$ where $x'$ is the mirror image coordinate across the vertical axis. 4. **Check Triangles B and C:** Both are described as rotated or translated versions, not reflections. Rotations and translations preserve orientation, so these are not mirror images. 5. **Conclusion:** Since Triangle A is the only one described as a horizontal reflection, it is the reflected image of the original triangle. **Final answer:** Triangle A shows a reflection.