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Sagot :

To find the transformation which doesn't preserve congruence:

Let us consider option a.

Here, it is given that,

[tex](x,y)\Rightarrow(\frac{1}{7}x,\frac{1}{7}y)[/tex]

Since it has the scale factor

[tex]\frac{1}{7}[/tex]

So, the type of transformation that occurred is the dilation transformation.

Hence, this transformation preserves similarities but doesn't preserve congruence.

Thus, the correct option is a.