Relinquished is Ritual Summoned with the Ritual Spell Card Black Illusion Ritual. It requires a monster as a Tribute to Special Summon Relinquished from your Hand. Once Relinquished is successfully Ritual Summoned, if it is sent to the Graveyard, it is eligible to be Special Summoned from it. You cannot Special Summon Relinquished from the Graveyard unless it was successfully Ritual Summoned first.
Relinquished can only ever initially reach the field by being summoned from hand, using an appropriate Ritual Spell Card - or by any card that specifically lets you summon a Ritual Monster from other zones.Relinquished cannot be special summoned from deck by cards like Reasoning, or Mystic Tomato, etc.
No, it can only be special summoned initially from your hand by removing one earth monster from play. Effects that special summon monsters from deck, cannot special summon a monster which is 'special summon only' because these monsters have to follow their own summon method. So you cannot special summon Relinquished using Mystic Tomato, it has to be Ritual Summoned or otherwise summoned by a card that says it can summon Ritual Monsters. Likewise, Gigantes can't be special summoned from deck by an external effect, and of course can't use its own effect while it is still in the deck.
Relinquished's equipped monster is destroyed if Relinquished's ATK is lower than the foe's attacking monster's ATK. If Relinquished is in Defense position, its equipped monster is destroyed if its DEF is less than the attacking monster's ATK. Either way, Relinquished remains on the field.
No, a Synchro Summon is a kind of Special Summon.
Thousand-Eyes Idol is a Normal monster with ATK/0 DEF/0. You can fuse it with Relinquished to Fusion Summon Thousand Eyes Restrict. Thousand Eyes Restrict is banned, so Thousand-Eyes Idol is practically useless as of today.
No, because you cannot Special Summon Relinquished without the Ritual Spell Card "Black Illusion Ritual", since Relinquished is a Ritual Monster Card (That's why the Card is colored dark blue). But you can special Summon Relinquished from the graveyard with cards like Monster Reborn, Call of the Haunted etc., as long as it was properly Ritual Summoned with the Ritual Spell Card before. If not, you are unable to Special Summon him. Hope that was not too much information at once ;P
I assume you mean Ritual Summon, as Relinquished can't be summoned by tribute summon. Once Relinquished is on the field, you as the turn player have Priority, you can start a chain by targeting an opponent's monster with its Ignition Effect. The opponent is free to chain to this as normal. If it resolves properly, Relinquished will be equipped. You can ask to enter the battle phase, but remember the opponent doesn't have to let the phase pass if he's got something he wants to use, so he can use something to possibly destroy Relinquished first. So basically, you can certainly summon Relinquished, and on its first turn (not THE first turn, of course, no attacks can be declared) , steal a monster and attack, but not 'immediately' in the sense that the opponent gets chance to respond to every part of the process.
I assume you mean 'Ritual Summon'. 'Immediately' is a poor term to use in Yu-Gi-Oh as it implies some kind of rush to do something before it is no longer allowed - everything has a correct 'timing' but they rarely conflict. I will outline a valid turn that uses Relinquished, to show what it can do. In Main Phase 1, the turn player plays Black Illusion Ritual. If it is not negated, Relinquished is placed on the field. Now the summon can be responded to, Relinquished can use his absorption effect here. The opponent can chain to this, but if the effect is not negated or the target lost, then the target will be equipped to Relinquished. Destroying Relinquished in response will not save the target, it will end up in the graveyard anyway, even though Relinquished has already left the field. The turn player can then declare he wishes to proceed to the battle phase. If the opponent has nothing he wants to activate, then the battle phase is entered. Relinquished can now declare an attack, which can be responded to as normal.
You got it. A level seven for a level seven. Although most people use metamorphosis to summon a fusion monster with a cool effect. Like tributing a level one monster to summon Relinquished.
Relinquished can only ever initially reach the field by being summoned from hand, using an appropriate Ritual Spell Card - or by any card that specifically lets you summon a Ritual Monster from other zones.Relinquished cannot be special summoned from deck by cards like Reasoning, or Mystic Tomato, etc.
No, it can only be special summoned initially from your hand by removing one earth monster from play. Effects that special summon monsters from deck, cannot special summon a monster which is 'special summon only' because these monsters have to follow their own summon method. So you cannot special summon Relinquished using Mystic Tomato, it has to be Ritual Summoned or otherwise summoned by a card that says it can summon Ritual Monsters. Likewise, Gigantes can't be special summoned from deck by an external effect, and of course can't use its own effect while it is still in the deck.
No, Relinquished is unrestricted in both formats.
She relinquished her hold on the reins and let the horse roam freely.
She relinquished her title to the new queen. His ownership of the mower was relinquished to the person he sold it to.
Not all, but most. If you look at some Ritual Monsters, they say they can 'only' be special summoned by a specific card, others do not. So you are free to summon a Relinquished using either Black Illusion Ritual, or Contract with the Abyss, or Advanced Ritual Art, but you could not use any other card other than "Ritual of Grace" to summon "Divine Grace - Northwemko".
Ritual monsters may only be special summoned from the graveyard if they were successfully summoned by Ritual Summon. If they were sent there in any other way - like simply discarded from hand, or improperly summoned by Ritual Foregone (it special summons but does not Ritual Summon), then you cannot revive them from the graveyard with cards like Monster Reborn or Fulfillment of the Contract.
as in grandparents rights, yes.