Prove the Composition Theorem by ordering the statements of the paragraph proof.Given Figure A is...
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Prove the Composition Theorem by ordering the statements of the paragraph proof.Given Figure A is transformed to figure A' by a rigid motion.Figure A' is transformed to figure A' by a rigid motion.Prove The composition of transformations from figure A to figure A" is a rigid motion.= every part of figure A' is congruent to the corresponding part of figure A" by the definition of rigid motion.= So, by the Transitive Property of Congruence, every part of figure A is congruent to the corresponding part of figure A".= Given that figure A' is transformed to figure A" by a rigid motion,= Given that figure A is transformed to figure A' by a rigid motion,= every part of figure A is congruent to the corresponding part of figure A' by the definition of rigid motion.= So, by the definition of rigid motion, the composition of rigid motions from figure A to figure A" is a rigid motion.
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