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What are the coordinates of vertex J of the pre-image?

What are the coordinates of vertex J of the pre-image?-example-1

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The figure is a rhombus J' K' L' M' in a coordinate plane, showing all its vertices.

The vertex J' is the point (0, -2).

And the statement indicates that the quadrilateral JKLM was transformed into the figure J'K'L'M' by the dilation (x,y) -> (x/2, y/2).

Then you have to find the preimag of J' which is J.

You know that x was multiplied by 1/2 to transform into 0, then x/2 = 0 => x =0

And y was mutilplied by 1/2 to transform into -2, then y/2 = -2 => y = -4.

And the pre-image is (0, -4)

Answer: (0, -4)
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