Yes, the Nintendo 3DS can connect with the NDS lite, only if the game is compatible for both devices.
No the 3DS game cards are shaped slightly different then the Nintendo Ds. Of course if you could put the 3DS game cards in the Ds lite it would still not work because the features and intense graphics the nintendo 3DS requires for games can't be used on the Ds lite. Don't buy 3DS games for the Ds lite as it just won't work. You can consider buying a 3DS however as the 3DS is backwards compatible with all DS games.
3DS games cannot be played on a DS lite. You need a console from the 3DS family - 3DS, 3DS XL, 2DS, New 3DS, New 3DS XL.
No, only a 3DS can play 3DS games.
The Nintendo DS is fully backward compatible with Nintendo DS games; however, the Nintendo 3DS does not have Slot 2, as seen on the Nintendo DS and Nintendo DS Lite, so those features will not be supported. Additionally, DSiWare games will be available to download on the Nintendo 3DS after the software update in May 2011.
No, the Nintendo DS lite cannot play 3DS games.
Yes, the 3DS are backwards compatible.
The Nintendo DS Lite is the lighter version of the original Nintendo. It was discontinued in 2011 but is still available at retail stores. The Nintendo 3DS is the newest version offering 3D effects without the use of special glasses. Its games are backward compatible with older versions.
Yes, the Nintendo 3DS (as well as the 3DS XL and 2dS) has its own 3DS games that will not work for the Nintendo DS, Nintendo DS Lite, Nintendo DSi, and Nintendo DSi XL.
Yes, the Nintendo 2DS is compatible with 3DS games. However, autostereoscopic 3D will not function.