Most people would, logically, travel west to go from South America to New Zealand. Given that the world is round, going east would also bring one from South America to New Zealand.
Shortest to go West
southwest
You would be travelling south.
South
A general south-western direction.
The continent east of New Zealand is South America
visa
The Pacific Ocean lies between New Zealand and South America.
New Zealand is south west of the Cook Islands
If you are travelling from Washington DC, USA's capital, to Puerto Rico, you would be travelling in a South-southeast direction.
south
South
No, New Zealand.
South America is North from Antarctica.