Answer: The points of EFG after 180 degrees rotation will be : (-2,-1), (-6,1), (-1, 5).
Step-by-step explanation:
Given: Triangle EFG has vertices E(2,1), F (6,-1) ,and G (1,-5).
According to 180 degrees rotation rule:
[tex](x,y)\to (-x,-y)[/tex]
Image of E : (-2,-1)
Image of F = (-6,-(-1)) = (-6,1)
Image of G = (-1,-(-5)) = (-1, 5)
Hence, The points of EFG after 180 degrees rotation will be : (-2,-1), (-6,1), (-1, 5).