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Those areas are the coldest because there are the farthest away from the equator. 

Hope this helps!
because they are located on the polar opposites of earth. if i were to draw a sphere of earth for you, the bottom you could not see. if you were the sun, could you look straight at the two polar ends of the earth? i think not. ultraviolet rays don't even travel as much down there when earth spins on its regular axis