Answer: (-2,-5)
Step-by-step explanation:
The rotation rule for rotating a figure about [tex]270^{\circ}[/tex] is given by :-
[tex](x,y)\to (y,-x)[/tex] , where (x,y) is the coordinates for pre-image and (y,-x) is the coordinates for image. (1)
Given : The coordinates of LMN are L (4,5), M (5,-2), and N (0,0).
If the triangle is rotated 270° about point N
Then, the coordinates of M , will be :
[tex](5,-2)\to (-2,-5)[/tex] (Using the rule described in (1))
Hence, the coordinates of M after rotated 270° about point N=(-2,-5).
