Answer:
a) 1/5 units.
b) 4 units.
Explanation:
The picture of the question in the attached figure
we know that
If a the scale factor is less than 1 then the image is smaller than its original figure.
In this problem
The scale factor is less than 1
That means ----> The copy of the quadrilateral ABCD ls less than the original figure
To find out the length of the corresponding sides of the copy, multiply the length of the corresponding sides of the original figure by the scale factor.
Let
z ---> the scale factor
![A'D'=AD(z)](https://img.qammunity.org/2021/formulas/mathematics/high-school/bjlif34cr6fqkd4ctvqxm1cxe3ovw7azvg.png)
we have
---> see the picture
so
![A'D'=9z](https://img.qammunity.org/2021/formulas/mathematics/high-school/sltpqfdylifnoqmimi3f2b1skwm60lpiht.png)
![z < 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/wirjiq5l4h0tu2zdww847ragneodubp7a1.png)
therefore
![A'D' < 9](https://img.qammunity.org/2021/formulas/mathematics/high-school/efvesepdc9gqfbo0agk52dt348wffxvhvg.png)
The length of the side that corresponds with AD, could be 1/5 units or 4 units