Final answer:
Under dilation by a scale factor of 2.5, each side of quadrilateral M'A'T'H' is 2.5 times longer than MATH, and its area is 6.25 times greater.
Step-by-step explanation:
The question concerns the concept of dilation in geometry which involves resizing a figure without altering its shape. In the given scenario, quadrilateral MATH is being dilated by a scale factor of 2.5 centered at the point (1,1) to create a new quadrilateral M'A'T'H'. The true statement about this dilation would be that each side of quadrilateral M'A'T'H' is 2.5 times longer than the corresponding side of the original quadrilateral MATH, and the area of quadrilateral M'A'T'H' would be 6.25 times the area of MATH, as area increases by the square of the scale factor.