Tip - Can I burn 1080p footage to a DVD? How?

I am a beginner. Our video is only seven minutes long, so I don't think actually space on the disc is an issue. The footage was shot in 1080p, and edited with Sony Vegas Pro. Is there a way to keep it at this quality? We aren't sure which options we should choose when rendering in Sony Vegas--we think MPEG2. But we tried that and then we burned it (with Windows DVD Maker) and the video was squished horizontally. What are we missing?