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# What set of reflections would carry hexagon ABCDEF onto itself? a. y=x, x-axis, y=x, y-axis b. x-axis, y=x, x-axis, y=x c. y-axis, x-axis, y-axis d. x-axis, y-axis, y-axis Download gif

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Answer: option a. y=x, the x-axis, y=x, the y-axis.Explanation:1) Take a general point with coordinates (a,b)2) Reflect about the line y = x translates to (b,a)3) Reflect (b,a) on the x-axis is translated to (b-a)4) to Reflect (b-a) y = x translate (-a,b)5) to Reflect on (-a,b) on the y-axis and translates it to (a,b)therefore, the set of reflections that have been translated in (a,b) in the same place (a,b), concluding that the set of reflections leads the hexagon ABCDEF onto itself.