Finding minimum and maximum in a list of tuples i.e (min,max),(max,min)?

Question

I have a list of tuples, (x1,y1),(x2,y2) etc and what I'd like to find is the tuple where x is a maximum and y is a minimum and various other combinations. I have been able to find where x is a maximum and y is a maximum, and when x is a minimum and y is a minimum, but I'm not sure how to first filter by maximum, then by minimum and vice versa.

Here's what I've tried so far:

coords = [(200,200),(40,150),(50,180),(20,200),(200,20),(20,20)]

c1 = max(coords, key=operator.itemgetter(0))
c2 = min(coords,key = operator.itemgetter(0))
c3 = max(coords,key = operator.itemgetter(1))
c4 = min(coords,key = operator.itemgetter(1))

#returns (200,200),(20,200),(200,200),(200,20))
#wanted (200,200),(20,200), (200, 20), (20,20) 
#(max,max), (min,max), (max,min), (min,min) or some order of this

In reality 'coords' has more than 6 tuples. I end up with the same coordinate being returned for c1 and c3 for example when I wanted coords[0] and coords[3], so (max,max) and then (min,max). Am I over-complicating things, or is there a much simpler way to solve this? The order of the output doesn't particularly matter as long as it is the same order every time the coords change. I have simplified this issue to post here so there may be some errors sorry. Thanks!