Describe Transformation Effects Using Coordinates Practice Test

Point $$P(-3, 5)$$ is rotated $$90°$$ counterclockwise about the origin, then dilated by a scale factor of $$2$$ centered at the origin. If this same point had instead been dilated first by a scale factor of $$2$$, then rotated $$90°$$ counterclockwise about the origin, what would be the relationship between the two final positions?

Point $$M(6, -8)$$ is transformed by a dilation centered at the origin with an unknown scale factor $$k$$, resulting in point $$M'(9, -12)$$. If this same scale factor is applied to point $$N(-4, 10)$$, what are the coordinates of $$N'$$?