== Added comment == 

 Canada is not a monarchy.  I have found this article and realized that it classifies Canada as a monarchy.  According to www.thefreedictionary.com, a monarchy requires the monarch to "govern" or "rule" the nationhttp://www.thefreedictionary.com/monarchy, the same information is given by this site under "Monarchy"https://en.wikipedia.org/wiki/Monarchy; however, Canada does not give the monarch any such powers.  The monarch is just a figurehead.  The government of Canada is more of a parliamentary democracy, as it has a parliament and is a democratically ran government (which is supported by thefreedictionary.comhttp://www.thefreedictionary.com/parliamentary+democracy and Wikipediahttps://en.wikipedia.org/wiki/Parliamentary_system under the search of parliamentary democracy).    — Preceding unsigned comment added by   •    
 :According to your reference, "A state ruled or headed by a monarch." Canada is a monarchy. It is headed by a monarch.