Question

abcd ~ ehgf. find ad and cd.
ad =
cd =

Explanation:

Step1: Find similarity ratio

The corresponding sides $BC = 1$ and $GH = 10$. The ratio of similarity is $\frac{BC}{GH} = \frac{1}{10}$.

Step2: Solve for $AD$

$AD$ corresponds to $EF = 30$. Use the ratio:
$AD = EF \times \frac{1}{10}$
$AD = 30 \times \frac{1}{10} = 3$

Step3: Solve for $CD$

$CD$ corresponds to $FG = 10$. Use the ratio:
$CD = FG \times \frac{1}{10}$
$CD = 10 \times \frac{1}{10} = 1$

Answer:

$AD = 3$
$CD = 1$