Answer:
The correct option is 2. A dilation is NOT rigid motion transformation.
Explanation:
Rigid motion transformation : A transformation is called a rigid motion transformation if a point or object is moved, but the size and shape remain the same.
In rotation, the point of figure is rotated about the center of rotation but the size and shape remain the same.
Therefore rotation is a rigid transformation and option 1 is incorrect.
In dilation, the figure is stretched of compressed by the scale factor k along the center of dilation, so the size of figure is either increase of decrease.
Therefore dilation is not a rigid transformation and option 2 is correct.
In translated, the point of figure is shifted but the size and shape remain the same.
Therefore translation is a rigid transformation and option 3 is incorrect.
In reflection, the point of figure is reflected about the line of reflection but the size and shape remain the same.
Therefore reflection is a rigid transformation and option 4 is incorrect.