With the transitive/intransitive part, in this case the ones that end with える sound are transitive. If you are also mixing their meaning because of the similar readings, 点 has the boil radical which has to do with heat, you gotta turn on the stove in order to get the water to their boiling point. so remembering that the igniting verbs has something to do with boil, and heat and electricity, will sort the attach ones since there’s nothing in that kanji that has to do with boil.
If you give it another look you’ll see that all the rest aren’t verbs. They all use 音読み 点 and as such refer to either point as a score or point as a position combined with various different kanji on various levels.
If they are similar looking in any way, I write them side to side and notice the differences, no matter how small. That usually helps me a lot to remember which is what.
There are patterns, this script points them out and is quite handy. For instance, verbs pairs ending in 〜ある and 〜える (like 上がる and 上げる) will always have the 〜ある be intransitive and the 〜える transitive.
I don’t know if it’ll help you, but I remember which of those are transitive and intransitive by thinking about how the longer words are transitive because there is more stuff involved - i.e. the person who turns the thing on, etc. It’s quicker (shorter word) if something just happens to be turned on, but when someone needs to be doing the turning on, they bumble into the word and make it longer.
With う/える pairs like this, which one is which is entirely determined by how the verb was used historically. The う pair is gonna be the older one and the える pair will have been derived later. This doesn’t really help us at all since whether the older verb was transitive or intransitive has no real noticeable pattern, at least not for く/ける
That being said there are a lot of つく verbs. Too many honestly WK teaches you five: 付く, 着く, 点く, 就く, and 突く and there are still more WK doesn’t teach you. The only one of those five that isn’t intransitive is 突く “to stab” and you won’t learn that one for a while. So if you want to just remember that つく verbs are intransitive that’ll probably serve you pretty well at this point.
Oh, I have an idea. I have no trouble remembering 気を付ける because I hear it in anime so often. So that helps me remember that 付ける is “to attach something” and from there I can remember the other 3.
I wonder if there is a similar vocabulary word available for the mix verbs
That’s a really good start then!
For me the magic sentence is - 助けてください! it got stack in my head watching a skit so that way I remember that 助ける is to help and 助かる is to be helped which helps (oops unintentional meta) with similar verb pairs.