convincing
So believable or strong that people accept or agree.
Convincing means persuasive enough to make someone believe something or agree with you. When you give a convincing argument for why your class should take a field trip to the science museum, you present reasons strong enough that your teacher actually considers it. When an actor gives a convincing performance as a pirate, the audience forgets they're watching someone pretend and believes they're seeing a real buccaneer.
Something convincing has weight and substance to it. A convincing excuse for being late includes specific details and makes sense, while an unconvincing one sounds vague or implausible. Evidence in a debate is convincing when it actually supports your position rather than just repeating your opinion.
The word often appears in phrases like “convincing victory,” which means winning by such a large margin that no one questions who deserved to win. If your soccer team wins 5-0, that's a convincing victory. If they win 3-2 in the final seconds, it's still a victory, but not as convincing.
Notice that convincing is different from correct. You might make a convincing case for something that turns out to be wrong, or struggle to present a convincing argument for something that's actually true. Being convincing is about how persuasively you present your ideas, not whether those ideas are right.