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Question 2 You've seen how a polygon can reflect onto itself during a transformation. Use what you know about symmetry to describe the line of reflectlon required for such a transformation. Be sure to use the word symmetry in your answer. \( \begin{array}{lllllll}\text { B } & \underline{\mathrm{U}} & \times^{2} & \times_{2} & 15 \mathrm{px}\end{array} \)

Ask by Franklin Kirk. in the United States
Jan 21,2025

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The line of reflection must be a symmetry axis of the polygon, ensuring that the polygon maps onto itself after reflection.

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In the case of a polygon reflecting onto itself, the line of reflection aligns perfectly with the line of symmetry of the polygon. Each point on one side of this line has a corresponding point on the other side, creating a mirror-like effect. For highly symmetric shapes like regular polygons, the number of lines of symmetry can be extensive, with each line bisecting the shape at equal angles, ensuring that the overall transformation looks identical before and after reflection. When a polygon reflects over a line of symmetry, it essentially divides the polygon into two congruent halves. It's crucial to identify these lines accurately; common mistakes arise when failing to recognize that not all lines drawn through a polygon will serve as lines of symmetry. Always check that every point on one side has a matching point on the opposite side to confirm the lines of symmetry and achieve a true reflection!

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