Question

fghij ~ wvutx. find hi and ij.

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{FG}{XW} = \frac{5}{21} = \frac{1}{4.2}$
Correction: Use matching sides $GH=2$ and $VU=14$
$\text{Ratio} = \frac{GH}{VU} = \frac{2}{14} = \frac{1}{7}$

Step2: Calculate $HI$

$HI = \text{Ratio} \times WV$
$HI = \frac{1}{7} \times 7 = 1$

Step3: Calculate $IJ$

$IJ = \text{Ratio} \times UT$
$IJ = \frac{1}{7} \times 35 = 2.5$

Answer:

$HI = 1$, $IJ = 2.5$