Final answer:
The transformation needed to rotate the points is a 90-degree clockwise rotation. The new coordinates after the transformation can be calculated using the transformation matrix and formulas provided.
Step-by-step explanation:
The transformation needed to rotate the points is a 90-degree clockwise rotation.
To perform a 90-degree clockwise rotation, we can use the following transformation matrix:
[| cos θ -sin θ |]
[| sin θ cos θ |]
Where θ represents the angle of rotation.
If we apply this transformation to the coordinates of a point (x, y), the new coordinates after the transformation will be:
x' = x cos θ - y sin θ
y' = x sin θ + y cos θ