Given:
Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule to create pentagon M'V'E'D'R'.
To find:
The correct statement.
Solution:
If a figure dilated by factor k, then the rule of dilation is
Here,
If k>1, then the image is larger than the original figure.
If k<1, then the image is smaller than the original figure.
We have,
Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.
Therefore, the correct option is B.