Question

Polygon ABCDEFGH will be 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'. What will the length of A'H' be?

Answer 1

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.

$\frac{AB}{A'B'}=\frac{BC}{B'C'}=\frac{CD}{C'D'}=\frac{DE}{D'E'}=\frac{EF}{E'F'}=\frac{FG}{F'G'}=\frac{GH}{G'H'}=\frac{AH}{A'H'}=\frac{1}{3.4}\\\\ A'H'=3.4\times AH$

Length of segment A'H'=3.4 AH

Answer 2

Even though you didn't attach any options I bet you have the same that I write in your task. I am pretty sure that length of A'H' should be 6.8 units. Do hope it will help you.