<u><em>Option 4 is not a rigid transformation.</em></u>
In mathematics, transformation could be;
Rigid Transformation; This includes reflection, rotation, translation.
Non - Rigid Transformation; This includes dilation and shear.
Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.
Whereas, it is termed non - rigid transformation if the shape or size changes.
Let us look at the triangles in the option;
Option 1; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
Option 2; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.
