Common words that rhyme with rigour include vigour, ardour, paramour, favour, humour, colour, behaviour, pour, tour, labour, demeanour, hour, rumour, clamour and rigueur.
You should never lie to your friends.
We must honour our parents always.
He made a yucky face when he tried the sour candy.
Pour the coffee into the waiting mug.
The virtual tour was fascinating.