Answer:
[tex]d' = (9,3)[/tex]
Step-by-step explanation:
Given
[tex]c = (5,-7)[/tex]
[tex]d = (-3,9)[/tex]
Transformation: 270 degrees rotation
Required
Determine the coordinates of d
I'll treat the question as: Determine the coordinates of d after the transformation
When a coordinate point d(x,y) is rotated 270 degrees about the origin, the new image of the point is: d'(y,-x)
In this case: [tex]d = (-3,9)[/tex]
[tex]x = -3[/tex]
[tex]y = 9[/tex]
So, the image of d is:
[tex]d' = (y,-x)[/tex]
[tex]d' = (9,-(-3))[/tex]
[tex]d' = (9,3)[/tex]
