Name the seasons in the Northern and Southern Hemispheres

The Northern and Southern hemispheres of Earth have an opposite cycle of seasons. For example, when the Northern Hemisphere is experiencing summer, the Southern Hemisphere is enjoying the winter. Seasons take place due to the tilt of Earth's axis of rotation (an imaginary line passing through the north and south poles). In essence, whatever hemisphere is tilted towards the sun has more sunlight hours and thus warmer weather. 

Based on the attached illustration, here is the listing of seasons:

Northern Hemisphere:

9) Summer

11) Autumn

14) Winter

16) Spring

Southern Hemisphere:

10) Winter

12) Spring

13) Summer 

15) Autumn

The tilt of the hemisphere decides what season there is in that particular hemisphere. For example, in case (9), the Northern Hemisphere is tilted more towards the sun and hence gets longer sunlight hours and thus has the summer season. In comparison, the Southern Hemisphere is tilted away from the sun at that time and gets less sunlight and hence experiences winter.

Hope this helps.