So, I am on the rock guitar level 2 lessons and have come across a lesson in Chapter 1 about classic major chord voicings. I am just really confused as to why these voicings are labeled as "D", "E", and "G".

E

B

G 7

D--7 7

A--7_h_9

E

How on earth is this a D chord? Wouldn't it be an "E" chord since the root note is the 7th fret of the A string? What am I missing here?

Is the "voicing" the fact that the "barre" has been removed from fret the fifth frets on ADGBE? Help me out here as I am just confused.