They’re called ridings - both the UK and Canada have a lower house styled the House Of Commons.
risings in Canada, constituencies in UK and Ireland:
http://en.wikipedia.org/wiki/United_Kingdom_constituencies
http://en.wikipedia.org/wiki/Parliamentary_constituencies_in_the_Republic_of_Ireland
electorates in Australia and New Zealand:
http://en.wikipedia.org/wiki/Divisions_of_the_Australian_House_of_Representatives
http://en.wikipedia.org/wiki/New_Zealand_electorates