Final answer:
The resulting polygon after dilating Polygon CATS at the origin with a scale factor of 7/2 is Polygon C'A'T'S'.
Step-by-step explanation:
The resulting polygon after dilating Polygon CATS at the origin with a scale factor of 7/2 is Polygon C'A'T'S'.
To find the coordinates of the new polygon, multiply each coordinate of the original polygon by the scale factor. For example, if point C has coordinates (x,y), the coordinates of C' would be ((7/2)x, (7/2)y).
Applying this process to each vertex of the original polygon will give us the new coordinates, which form the resulting polygon.