The internal company document is being projected on the screen.
Looking at my own face reflected in the mirror I feel "how beautiful my face is" every day.
A tear rolled down Koichi’s cheek when he saw the beautiful mountains reflected on the surface of the lake.
This word consists of kanji with hiragana attached. Because the hiragana ends with an う sound, you know this word is a verb. The kanji itself means reflect. The verb vocab version means to be reflected. You're not doing the reflecting directly. You can remember this by thinking how rude (る) it is that someone's reflecting your image using a mirror for everyone outside the dressing room to see.
Since this word consists of a kanji with hiragana attached, you can bet that it will use the kun'yomi reading. You didn't learn that reading with this kanji, so here's a mnemonic to help you:
Your reflection is getting reflected onto the mirror. You don't like it, it doesn't look like you. Impostor reflection! You take a hammer and you 打つ (うつ) it as hard as you can, glass flying everywhere. Then some dubstep starts playing from the broken mirror: うつうつうつうつ. You're obviously on meth or something.