If two pieces of information match up, they are the same.

Their accounts of what happened that evening don't match up. 他们对那晚所发生的事情说法不一致。

If two things match up, they are similar and are designed to connect or to work together.

If the teeth on the cogs don't match up correctly (= if they are not in the correct place), the mechanism will jam. 如果齿轮上的轮齿不能啮合到位，机器就会卡住。

to be as good as another thing, person, or experience

There was so much hype beforehand that it would have been difficult for the film to match up to/with our expectations of it. 这部电影事先有太多的夸大宣传，所以很难达到我们的预期。

If you match up a design or material, you look for something that would look good with it and be similar to it.

I'm trying to match up this wallpaper with some suitable curtain material. 我在找一种合适的窗帘面料来配这种壁纸。

to find a similarity or connection between two things or people

Can you match up these songs with the bands who sang them? 你能把这些歌曲和演唱它们的乐队都对上号吗？