Question

2. A student claimed that the transformation (x, y) → (3x, y) is a rigid motion because the segment joining (5,0)

Answer 1

The explanation of the student's error is mentioned below in the main solution regarding transformation

Given that A student claimed that the transformation (x, y) → (3x, y) is a rigid motion because the segment joining (5,0) to (5,2) is transformed to the segment joining (15,0) to (15,2), and both of these segments have the same length and asked to find an error

Rigid transformation :

Rigid transformations imply that the size and shape of the object in fig should not change; however, the object is stretched in this case, and thus the shape of the object changes even though the length of the segment remains constant. ( image is attached for further references)

Therefore, the student's error is explained

Hence, The explanation of the student's error is mentioned above in the main solution regarding transformation

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