Paige is a graphic designer who makes logos for companies. she makes a design for a logo, which is in the shape of a square. the design of this logo is drawn on the coordinate plane as square abcd. she then dilates this logo by a scale factor of 2, forming square a'b'c'd'. she realizes that she needs a much bigger design and so further dilates this transformed square by a scale factor of 3 to form a"b"c"d". what are the coordinates of vertex a' and vertex c"?