Are these cis/trans isomers? Why or why

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Are these cis/trans isomers? Why or why not?

Skeletal structure of a benzene ring with a methoxy group, a hydroxyl group and a propenyl side chain, the double bond drawn with Z (cis) geometry.


Skeletal structural formula of eugenol: a benzene ring with OH at one position, OCH3 (methoxy) adjacent, and an allyl side chain (CH2-CH=CH2) at the para position.
 


Yes, because the O and the OH can be switched. Because the ring structure can not be changed?
espen180 said:
Let's hear your take on it first.
 


Given two molecules, what is needed for them to be called cis/trans-isomers?