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Which of the following is not a rigid motion transformation?A.ReflectionB.StretchC.TranslationD.Rotation

Question

Which of the following is not a rigid motion transformation?

A. Reflection
B. Stretch
C. Translation
D. Rotation

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Solution

To determine which of the given options is not a rigid motion transformation, we need to understand what rigid motion transformations are. Rigid motion transformations include those transformations that preserve distance and angles, meaning the shape and size of the object remain unchanged.

  1. Reflection - A reflection over a line is a rigid motion because the original distance between points is maintained.

  2. Stretch - A stretch transformation alters the shape and size of an object by changing the distance between its points, thus it is not a rigid motion transformation.

  3. Translation - A translation moves every point of the object the same distance in a specified direction, preserving shape and size.

  4. Rotation - A rotation turns the object around a fixed point and maintains the distances between all points, making it a rigid motion.

Final Answer

The option that is not a rigid motion transformation is B. Stretch.

This problem has been solved

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