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Question
- communicate precisely describe how you can find a rigid motion or composition of rigid motions to map a segment to a congruent segment and an angle to a congruent angle. enter your answer.
Rigid motions include translations, rotations, and reflections. To map a segment to a congruent segment and an angle to a congruent angle, first identify key points on the segment and angle. For a translation, move the key - points by a fixed distance in a given direction. For a rotation, rotate the key - points around a fixed point by a certain angle. For a reflection, reflect the key - points across a line of reflection. A composition of these motions can also be used. For example, first translate to align one endpoint, then rotate or reflect to align the rest.
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Identify key points on the segment and angle. Use translations to move them, rotations around a point, or reflections across a line. Combinations of these rigid motions can also be applied to map the segment to a congruent segment and the angle to a congruent angle.