A) The image of the dilation is a reduction of the original figure.
B) The scale factor is 0.666.
Step-by-step explanation:
Step 1:
The original figure is MSV while the dilated figure is [tex]M^{1}S^{1} V^{1}[/tex].
We determine the lengths of one of the sides to decide if it's a reduction or an enlargement.
To measure horizontal distances on a graph, we subtract the coordinates of x.
The length of the side MS [tex]= 6-(-3) = 6+3 = 9.[/tex]
The length of the side [tex]M^{1}S^{1}[/tex] [tex]= 4-(-2) - 4+2 =6.[/tex]
As the dilated figure has a length lesser than the original figure, the dilation is a reduction of the original figure.
Step 2:
To determine the scale factor, we divide the value of a side of the figure after dilation by the same side before dilation. In this case, it's the side length of the side [tex]M^{1}S^{1}[/tex] and MS.
The scale factor [tex]= \frac{6}{9} = \frac{2}{3} = 0.666.[/tex]
