Answer:
Option C.
Step-by-step explanation:
Given information: WX=8m and W'X'=6m
It is given that Trapezoid W′X′Y′Z′ is the image of trapezoid WXYZ under a dilation through point C.
Scale factor is the ratio of corresponding sides of image and preimage.
[tex]\text{Scale factor}=\frac{Corresponding side of image}{Corresponding side of preimage}[/tex]
For the given figure,
[tex]\text{Scale factor}=\frac{W'X'}{WX}[/tex]
[tex]\text{Scale factor}=\frac{6}{8}[/tex]
[tex]\text{Scale factor}=\frac{3}{4}[/tex]
Since image and preimage lie on the same side of the center of dilation. So, the scale factor is positive number.
Therefore, the correct option is C.
