Given: Polygon 2 is a dilation of Polygon 1
To find the scale factor, we will follow the steps below:
Step 1: Write out the coordinates of Polygon 1
Going clockwise, the coordinates are:
(6,4), (6,-4), (0,-4), (-6,2), (-2,4)
Step 2: Write out the coordinates of Polygon 2 in the same order:
The coordinates are:
(3,2), (3,-2), (0,-2), (-3, 1), (-1, 2)
Step 3:
Compare corresponding sides
Note: Since polygon 2 is a dilation of polygon 1, Polygon 2 is the image, and polygon 1 the object.
Therefore, the scale factor will be
[tex]\text{scale factor=}\frac{\text{ coordinates of polygon 2}}{correspond\text{ing coordinates of polygon 1}}[/tex]
[tex]\text{scale factor=}\frac{(3,2)}{(6,4)}=\frac{1}{2}[/tex][tex]Therefore,thescalefactor=\frac{1}{2}[/tex]
