"even though it was clear that another student, raul, accidentally pushed noah, he insisted that raul did it on purpose. what phenomenon is this? "

Hostile attribution bias

Explanation:

It is an ability of interpreting behavior of others having opposed intent even though the act or behavior is indefinite. For example, the case mentioned here although it was obvious to all that Raul did not pushed Noah intentionally and it was just an accident, but Noah insisted that he did it purposely.

Another other example for such behavior is if two persons are talking to each other, and third person watching them think that they are talking about him, although they are not and their behavior is ambiguous.

for me i have felt invisible when i was clearly struggling,or,i made a great achievement ,and,nobody took to notice me either because they just didn't see it,or,people just turned their back on me.i can see a person being invisible by choice,or,without choice like i did.the people who are invisible by choice don't try to talk to people,don't try to make friends,and,keep to themselves.i haven't been one of those people so i couldn't give you a reason.

hope this and can i get bainliest my dude : d

when comparing the cases, what similarities are there in the cases that suggest one person committed these murders?