Are these signs that she likes me? Should I try talking to her?

Ok, so there's this really REALLY pretty girl I see in the hallways throughout the day, and I've had a crush on her for a really long time, about 7 months. I've never had a girlfriend before, because I've never been sure a girl has liked me back. But this girl, I'm sure does, it's just a gut feeling. I actually have female friends, and they all say I'm really funny, so I'm sure I'll get along with this girl. Anyways, she does show me a lot of signs. For one, our eyes usually meet when I see her. One time her and her friend kept turning around and looking at me, I'm pretty sure she was saying something along the lines of "omg that's him, he's cute huh?". Another time, I saw her keep glancing over at me on her way to her class, then before she opened the door, she turned around, looked at me, then walked in. She smiled at me once too, but I didn't smile back because I wasn't sure if it was intended at me, and I was kind of dozing off, so I just kept eye contact with her. I was at my locker one morning, and her and her friend walked by. When she walked by, she walked REALLY close to me. I was waiting for my friend at his locker one day, and from the corner of my eye, I saw her and her friend walk by. After they passed by me, me and my friend started walking, then I saw her turn around and look at me. I saw her on her way to her class a few days ago, and right before she opened the door, she turned around, looked at me, then walked in. Today, I saw her leaving that class, and when she walked out, I turned to my side and our eyes met. After a second or two, I looked away. After that, I heard giggling (there were some other girls walking with her), and I think it was them. Girls, do you think she likes me? I really want to get to know her , so I'm probably gonna approach her tomorrow, I just need some encouragement.