Note: this is intended to be a canonical question about whether or not a spell or ability targets so there are multiple sub-questions.

1. Can Hexproof or Shroud save my creature from [mtg:Wrath of God]? What about a [mtg:Cyclonic Rift] that was cast for it's Overload cost?

2. Does shroud prevent me from using the Monstrosity ability of a creature, or from giving it more counters with Proliferate?

3. Can I cast an Aura Enchantment on one of my creatures with Shroud, or an opponent's creature with Hexproof? Or can I use the Equip ability to attach an equipment to one of my creatures with Shroud?

4. Will [mtg:Diffusion Sliver]'s ability trigger when my opponent plays [mtg:Wrath of God]? And will I have to sacrifice my [mtg:Phantasmal Image] if my opponent casts [mtg:Nausea]?

5. Will Shroud or Hexproof prevent an opponent from choosing me with [Stuffy Doll](http://gatherer.wizards.com/Pages/Card/Details.aspx?multiverseid=279711)'s ability?

6. Will Hexproof keep one of my creatures from being affected by [mtg:Sleep]?

7. If an Aura or Equipment is attached to a creature with Hexproof, does the Hexproof protect the attached permanent?