Answer: 0.5
Step-by-step explanation:
Given: Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.
Since dilation always produces similar images.
To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides.
AB=|-5-(-8)|=|-5+8|=3 units
A'B'=|-2.5-(-4)=|-2.5+4|=1.5 units
The ratio of the corresponding sides A'B' to AB is given by :-
[tex]\frac{1.5}{3}=\frac{1}{2}=0.5[/tex]
hence, the scale factor of the dilation = 0.5
