Answer :

The graph of the polygon with given vertices and its image after a dilation with a scale factor k = 0.25 is as shown below.

In this question, we have been given the coordinates of the vertices of polygon.

We need to graph the polygon with given vertices and its image after a dilation with a scale factor k = 0.25

The coordinates of the polygon are:

J = (4, 0 ), K = (-8, 4), L = (0, -4), M = (12, -8)

The coordinates of the polygon after a dilation with a scale factor k = 0.25 would be:

J' = (1, 0), K' = (-2, 1), L' = (0, -1), M' = (3, -2)

Therefore, the graph of the polygon with given vertices and its image after a dilation with a scale factor k = 0.25 is as shown below.

Learn more about the dilation here:

https://brainly.com/question/10855880

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