You Do Need power plug adapter while traveling from Libya to Jordan.

Here is Why You Need An Adapter

The outlet and plug type used in Jordan are C, D, F, G and J and in Libya are C and L. This is how they look like.

Libya

In Libya, outlets of type C and L are in use.

Type C

Type L

Jordan

In Jordan, outlets of type C, D, F, G and J are in use.

Type C

Type D

Type F

Type G

Type J