Answer:
The transformation which do not describe a rigid motion transformation is:
Option: C
C. dilating a figure by a scale factor of 1/4
Explanation:
Rigid motion transformation is a transformation in which the shape and size of the figure is preserved i.e. it remains the same.
A)
Translating a figure 5 units right.
We know that in the translation transformation the shape and size of the figure remains the same only the location of points are changed.
B)
Rotating a figure 90 degrees.
In rotation the shape and size is preserved.
Hence it is a rigid transformation.
C)
dilating a figure by a scale factor of 1/4
This is not a rigid transformation because the size of the figure is changed.
since the scale factor is less than 1.
Hence, the transformation is a reduction of the original figure.
D)
reflecting a figure across the x-axis.
The reflection is also a rigid transformation.
since it preserves the shape and size of the object.