Yes. The flip effect itself will activate after damage calculation.
Destroying a monster does not flip it. But if a monster is flipped face-up when attacked, and considered destroyed by battle, then the flip effect will still activate.
Flip effects will activate if flipped manually by Flip Summon, or when attacked. Also must include "FLIP" in all caps for its effect to activate, or say 'when this card is turned face-up'. For example if a monster such as Guardian Sphinx is flipped face up by an attack or an effect (spell, trap or monster), the effect does not activate, because only a Flip Summon triggers it, not a generic flip. When a card effect destroys a face-down monster, the monster is destroyed and flip effect isn't activated because the monster never flips. Mystic Swordsman Lvl. 4 destroys the monster it attacks without flipping it, so a Flip Effect monster attacked by it will not get its flip effect. To summarize, if a FLIP effect monster is attacked while face down, then it will activate. But if it's destroyed by a card effect while face down then it won't activate. Some card effects let you flip monsters face up and let the flip effect activate, like book of taiyou. But others, like ceasefire don't let it activate. If it says 'when this card is flipped face up' then you have to do that manually on your own turn.
No, flip effect activate when the card is flipped, which will be by Flip Summon, or being attacked, or flipped by an effect. Simply being destroyed while face down, will not 'flip' the monster.
Flip effects will activate if flipped manually by Flip Summon, or when attacked. Also must include "FLIP" in all caps for its effect to activate, or say 'when this card is turned face-up'. For example if a monster such as Guardian Sphinx is flipped face up by an attack or an effect (spell, trap or monster), the effect does not activate, because only a Flip Summon triggers it, not a generic flip. When a card effect destroys a face-down monster, the monster is destroyed and flip effect isn't activated because the monster never flips. Mystic Swordsman Lvl. 4 destroys the monster it attacks without flipping it, so a Flip Effect monster attacked by it will not get its flip effect. To summarize, if a FLIP effect monster is attacked while face down, then it will activate. But if it's destroyed by a card effect while face down then it won't activate. Some card effects let you flip monsters face up and let the flip effect activate, like book of taiyou. But others, like ceasefire don't let it activate. If it says 'when this card is flipped face up' then you have to do that manually on your own turn.
No. The only time it flips in being destroyed is when it is attacked by a monster. The flip effect will only work if the monster says "FLIP" in all caps and does not say if it is destroyed in battle that its Effect will activate.
No. Flip Effects only activate when the card is flipped, which will happen when Flip Summoned, or when the monster is attacked, or when an effect specifically directs it to be turned face up. Simply destroying a face-down monster, or removing it from play, does not 'flip' it, so Flip Effects will not activate.
A monster flipped face-up by a card effect, such as "Book of Taiyou" or "Stop Defense", or as a result of battle is notconsidered a Flip Summon. Only flipping a Set monster manually is considered a Flip Summon.So if you attack a face-down Stealth Bird, it will be flipped but not Flip Summoned, so its effect will not activate.
An attacked flip effect monster's effect will activate after damage calculation, but before monsters destroyed by battle go to the graveyard, so it will be after the effect's resolution. Note that even though a monsters considered destroyed by battle will still be on the field at the time, it can't be returned to hand or deck by such effects.
If the face-down monster is tributed, then no, any Flip Effects it has will not activate. Under normal conditions therefore, you should flip the monster first, allow the effect to activate/resolve, then tribute the monster for whatever. But you are out of luck if your face-down Flip Effect monster is tributed by the opponent using Soul Exchange, for example. Because it never 'Flips' (even though it goes to the graveyard face up) the effect will not activate.
No monster can activiate its effect while face down unless it specifically says so; only face up.If you are referring to monsters who say their effects activate when Flip Summoned, that means you must flip the monster up manually during your Main Phase after it is set face down. A monster fliped face up from an attack does not count as a Flip Summon.
A flip effect only works if you flip summon a monster, or if your opponent attacks your face down monster (granted they don't have an effect that negates the activation of a flip effect monster or destroys it without flipping, like Drillroid) Most special summons require the monster to be face up, therefore not letting the flip effect to have a change to activate.
This depends on the specific monster and its abilities. If a monster's summon is negated and the monster destroyed, it is likely that its effect was never able to be activated in the first place. In this case, its effect would never have applied