Rectangle bcde is shown on the coordinate grid. rectangle bcde is dilated with the origin as the center of dilation using the rule (x, y) → (
1
3
x,
1
3
y) to create rectangle b'c'd'e'.

which statement is true?
a) rectangle b'c'd'e' is larger than rectangle bcde, because the scale factor is greater than 1.
b) rectangle b'c'd'e' is smaller than rectangle bcde, because the scale factor is less than 1.
c) rectangle b'c'd'e' is smaller than rectangle bcde, because the scale factor is greater than 1.
d) rectangle b'c'd'e' is larger than rectangle bcde, because the scale factor is less than 1.