The coordinates of the vertices of a polygon are (2,4) (6,4) (6,0) and (2,0). the polygon is dilated with a scale factor of 3/2 and center (0,0). explain how you can find the coordinates of the vertices.

Take the first point (2, 4)  a scale factor of 3/2 will move the x coordinate 2 to 2*3/2  = 3 and the y coordinate 4 will  be moved to 4*3/2 = 6.
So the image of ( 2, 4) will be ( 3, 6)  TH other verices will move in the same fashion.