KVM: LVM snapshots on qcow2 images

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http://serverfault.com – I have an LVM2 logical volume that is formatted with ext4 and mounted to a directory on /opt. On that volume is a qcow2 KVM image for a Windows 7 guest. Can I snapshot the LVM logical volume for a complete backup/clone of the VM? I believe this is usually done with raw images that use the entire logical volume as opposed to having an image live on the volume, but this is the way it was configured. If not, what is the simplest way to get clones/snapshots of this qcow2 VM? There is not enough space on the same logical volume so I would like to store them on /opt/data. Cent 6.3 libvirt 0.10 (HowTos)