Answer:
The rule for the transformation is
.
The coordinates of L' are
.
The coordinates of N' are
.
Step-by-step explanation:
Given:
Vertices of a triangle are: 
The rotation is 180 degree.
So, the rule for 180 degree rotation is:

Therefore, the new co-ordinates of the vertices are:

So, the correct options are:
The rule for the transformation is
.
The coordinates of L' are
.
The coordinates of N' are
.