Now check corresponding segments meet proportionality criterium, which is needed for similarity:
H'I' / HI = 10 /2 = 5
K'J' / KJ = 10 / 2 = 5.
So far we this is fine.
JI / J'I' = 16 / 4 = 4............ then not, the ratio is not the same ratio of the other two segments, which implies that the scale used for the vertical segments is different to the scale used for the horizontal segments, driving to a non similar figure.
Answer: no, because the corresponding sides are not proportional
After simplifying the first in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with a variable.