Answer:
[tex]J' = (4,-3)[/tex]
Step-by-step explanation:
Given
[tex]J = (3, 4)[/tex]
[tex]K =(6,4)[/tex]
[tex]L = (8, 1)[/tex]
[tex]M = (1,1)[/tex]
[tex]Rotation = 270CCW[/tex]
Required
Determine the new coordinate of J
From rules of rotation,
When a point (x,y) is rotated 270 degrees CCW;
The new point becomes (y,-x)
Considering point J
[tex]J = (3, 4)[/tex]
This means
[tex](x,y) = (3,4)[/tex]
Where [tex]x = 3[/tex] and [tex]y = 4[/tex]
Using the above rotation rule of
[tex](x,y) -> (y,-x)[/tex]
The coordinates of J' becomes
[tex]J' = (4,-3)[/tex]
