Respuesta :
Answer:
The rule for the transformation is [tex](x, y)\rightarrow (-x, -y)[/tex].
The coordinates of L' are [tex](-2,-2)[/tex].
The coordinates of N' are [tex](-1,-6)[/tex].
Step-by-step explanation:
Given:
Vertices of a triangle are: [tex]L(2,2),M(4,4)\textrm{ and }N(1,6)[/tex]
The rotation is 180 degree.
So, the rule for 180 degree rotation is:
[tex](x,y)\rightarrow (-x,-y)[/tex]
Therefore, the new co-ordinates of the vertices are:
[tex]L(2,2)\rightarrow L'(-2,-2)\\M(4,4)\rightarrow M'(-4,-4)\\N(1,6)\rightarrow N'(-1,-6)[/tex]
So, the correct options are:
The rule for the transformation is [tex](x, y)\rightarrow (-x, -y)[/tex].
The coordinates of L' are [tex](-2,-2)[/tex].
The coordinates of N' are [tex](-1,-6)[/tex].