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Consider a segment AB and two points O and O' on the same side of...

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Consider a segment AB and two points O and O' on the same side of AB. Prove that the image of AB after two successive half-turns, first about O and then about O' is parallel to AB. Assume Euclidean.

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Consider a segment AB and two points O and O' on the same side of AB. Prove that the image of AB after two successive half-turns, first about O and then about O' is parallel to AB. Assume Euclidean.

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