I find myself often getting these two words mixed up a lot.
So let's say I have a simple graph of $y = t^2$ and $x = t$. If a line is tangent to the curve at the origin, it would only be the line y = 0. If a line is perpendicular to the curve (let's think this in $\mathbb{R}^3$ now), it would be coming out to you assuming if you are looking at it on top of the xy-plane. Is this true or can we actually say that the tangent line is also y = 0?
I know this is actually a really simple question but I couldn't find a good place to distinguish the two words. It's just one of those times you pick up and kinda 'know' by heart when you've finished with calculus.