Solution:
Polygon ABCDEFGH is dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A'B'C'D'EFG'H'.
As, when a polygon is dilated , the two pre image and image are similar to each other.
Also, similar shapes have same ratio of their corresponding sides length.
→Pre image (Polygon ABCDEFGH) ~Image ( A'B'C'D'EFG'H').
Dilation factor >1, equal to 3.4.
[tex]\frac{AB}{A'B'}=\frac{BC}{B'C'}=\frac{CD}{C'D'}=\frac{DE}{D'E'}=\frac{EF}{E'F'}=\frac{FG}{F'G'}=\frac{GH}{G'H'}=\frac{AH}{A'H'}=\frac{1}{3.4}\\\\ A'H'=3.4\times AH[/tex]
Length of segment A'H'=3.4 AH
