The scale factor of the dilation for the rectangles is 2.5714 while for the above polygons it is 0.333.
Step-by-step explanation:
Step 1:
In the left rectangle, the length of one of the sides is given as [tex]\frac{7}{8}[/tex] inches.
For the rectangle on the right, the same side as the previous shape is given as [tex]2\frac{1}{4}[/tex] units.
Step 2:
To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, it is the given lengths for both rectangles.
So the scale factor = [tex]\frac{2\frac{1}{4} }{\frac{7}{8} } = \frac{2.25}{0.875} = 2.5714.[/tex]
So the scale factor for the rectangles is 2.5714.
Step 3:
One of the sides of the left polygon measures 21 units long while the same side of the right polygon measures 7 units long.
The scale factor [tex]= \frac{7}{21} = \frac{1}{3} = 0.333.[/tex]
So the scale factor for the polygons is 0.333.
