How to best implement Equals for custom types?

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In the one that takes an obj, if the type of obj is Point2, call the type specific Equals. Inside the type specific Equals, make sure that all the members have the same value.

public override bool Equals ( object obj )
{
   return Equals(obj as Point2);
}

public bool Equals ( Point2 obj )
{
   return obj != null && obj.X == this.X && obj.Y == this.Y ... 
   // Or whatever you think qualifies as the objects being equal.
}

You probably ought to override GetHashCode as well to make sure that objects that are “equal” have the same hash code.

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