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To carry triangle ABC onto itself through reflections, you can use the reflections across its medians, angle bisectors, or altitudes. Specifically, reflecting across the angle bisectors of the triangle will map each vertex to the opposite side, preserving the triangle's shape. Additionally, reflecting across the perpendicular bisectors of the triangle's sides will also result in the triangle being mapped onto itself. These reflections maintain the congruence and orientation of the triangle.

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5d ago

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