Respuesta :

Answer:

Images are neither similar nor congruent.

Coordinates of (-3,2) when transformed are (-6, 8).

Step-by-step explanation:

In the transformation we are multiplying the coordinates by two different numbers (2 for x, 4 for y ); therefore the transformed figure can neither be similar nor congruent.

This is because a transformation that results in a congruent figure must of of the form [tex](x\pm a, y\pm a)[/tex]—this is just shifting the figure.

The transformation that results in a similar figure must be of the form [tex](ax,ay)[/tex] or [tex]a(x,y)[/tex]—this is just scaling the figure.

Since the transformation [tex](2x,4y)[/tex]  is neither a congruent transformation nor a similar transformation ,the resulting figure in neither similar nor congruent.

The point (-3, 2) transforms to

[tex](-3,2)\rightarrow (2(-3), 4(2))=\boxed{(-6,8)}[/tex]

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