When a point is rotated, it must be rotated around a point.
See attachment for the image of the rotation about point K
The given parameters are:
[tex]\mathbf{\triangle EFG}[/tex]
The angle of rotation is
[tex]\mathbf{\theta= 180^o}[/tex]
The above angle of rotation means that:
The translated triangle will be 180 degrees from [tex]\mathbf{\triangle EFG}[/tex] about point K.
It also means that:
[tex]\mathbf{\triangle EFG}[/tex] and [tex]\mathbf{\triangle E'F'G'}[/tex] will be equidistant from point K
See attached image for [tex]\mathbf{\triangle E'F'G'}[/tex]
Read more about rotations at:
https://brainly.com/question/1571997