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QUESTION IMAGE

fghij ~ edcba. find ab and bc. ab = bc =

Question

fghij ~ edcba. find ab and bc.
ab =
bc =

Explanation:

Step1: Find similarity ratio

The corresponding sides $GH = 1$ and $ED$ (wait, no, match the similarity statement: $FGHIJ \sim EDCBA$. So $GH$ corresponds to $DC$, $IJ$ corresponds to $BA$, $FG$ corresponds to $ED$, $HI$ corresponds to $CB$, $JF$ corresponds to $AE$.

First, find the ratio: $\frac{GH}{DC} = \frac{1}{5}$, so the ratio of $FGHIJ$ to $EDCBA$ is $\frac{1}{5}$, meaning $EDCBA$ is 5 times larger than $FGHIJ$.

Step2: Solve for AB

$AB$ corresponds to $JI$. $JI = 3$, so $AB = 3 \times 5$
$AB = 15$

Step3: Solve for BC

$BC$ corresponds to $IH$. $IH = 2$, so $BC = 2 \times 5$
$BC = 10$

Answer:

$AB = 15$
$BC = 10$