Brooks added a third try with less than 15 minutes played after his speculative kick from midfield took a wicked bounce over the head of Sam Perret, then crashed off the upright and the halfback raced through to grab the rebound and score.
Shellshocked by their horror start, the Bulldogs finally managed to get on the scoresheet through Frank Pritchard midway through the opening stanza.
But on the stroke of halftime, Richards returned to the field following stitches for a facial cut to convert a monster 55-metre kick from inside his own half to open up an 18-6 lead.
Tedesco scored his second just after the restart, putting the finishing touches to a length-of-the-field try after being put in the clear by Naiqama.
A Richards penalty stretched the Tigers' lead before Brooks ended the game as a contest from close range after some poor defence from the home side.
Pritchard and Curtis Rona crossed late in the game for the Bulldogs but there was to be no repeat of the fightback that secured their 25-24 victory over the Tigers in round four as Richards went over in the corner in the final minute.
Tigers coach Jason Taylor said he was delighted with the way his side bounced back from last week's morale-sapping loss to the Raiders with a much-improved performance.
"We played for the full 80 minutes, I wanted us to go right to the bell and we played until the finish," Taylor said.
"We have only played for the full 80 minutes once this season and to do it and beat a quality side like Canterbury is very pleasing."
Canterbury coach Des Hasler was upset with his side's first-half effort and made his players return to the field five minutes before the end of halftime to warm up.
Hasler played down the significance of the decision but admitted his side were poor.
"We weren't too good tonight and paid the price," Hasler said.
"Our third-quarter starts been been a bit dusty and I wanted to get their heart rates going.
"The Tigers got up in our faces and scored three tries off kicks and we couldn't get any momentum."
- AAP