If polygon ABCD with vertices A (1, 2), B (1,4), C(2,6), and D (5, 4) is dilated by a factor 3, the coordinates of the dilated polygon are A' (3, 6), B' (3, 12), C' (6, 18), and D' (15, 12).
When a polygon is dilated by a scale factor, all the coordinates of its vertices are multiplied by that scale factor. In this case, the scale factor is 3. Thus, we should multiply the x and y coordinates of each vertex by 3.
Let's calculate:
So, the coordinates of the dilated polygon ABCD are A' (3, 6), B' (3, 12), C' (6, 18), and D' (15, 12).
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