The Flip Effect itself is a Trigger, an activation of a monster effect. Herald of Perfection cannot negate the summon itself, but can chain to and negate the actual Flip Effect trigger.
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Yes, generally you canBUT there are some cards that doesn't allow the effect to activate if you attack. Example is Chaos Sorcerer.so make sure to read the card text first.
it means that they might have a special effect like the Calculator has a ? in its attack its effect being this card gains attack points equal to the tolal level of all monster on your side of the field x300
Forbidden Chalice will negate Marshamallon's 'cannot be destroyed by battle' effect. Because Forbidden Chalice changes the ATK of a monster, it can be used in the Damage Step, after Marshmallon is flipped by an attack. If you did this, you will not take the 1000 damage from Marshmallon either - his damage dealing effect activates after Damage Calculation, but will be negated.
Destroying a monster in chain to the activation of its effect, will not stop the effect resolving unless it specifically and obviously requires the monster to remain face-up on the field. The lingering effect of Brotherhood of the Fire Fist - Tiger King cannot be negated simply by destroying the monster. You would have to chain a monster negation effect to its activation.
It is either a monster that can function as an Equip card through its own effect, such as Union monsters, or, it is a monster forcibly equipped by another card's effect such as Relinquished's ignition effect.