Answer:
see below
Explanation:
The points at the corners of the given figure are ...
(0, 0), (0, 4), (3, 4), (3, 0)
When the figure is scaled by a factor of 1/3, each of the coordinates is multiplied by 1/3:
(0, 0), (0, 4/3), (1, 4/3), (1, 0) . . . . . points scaled by 1/3
When the figure is scaled by a factor of 3/2, each of the coordinates is multiplied by 3/2:
(0, 0), (0, 6), (9/2, 6), (9/2, 0) . . . . . . points scaled by 3/2
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The points that are on your list are shown in bold above.