Question

select all of the transformations that carry the square onto itself a 90 degree clockwise rotation about the origin a reflection over the line x=3 a reflection over the line y=-x a 360 degree rotation about the point (-3,3) a 180 degree clockwise rotation about the point (0,-3)

Answer 1

Selected:
- 90° clockwise rotation about the origin
- Reflection over the line y = −x
- 360° rotation about the point (−3,3)

Why: a square centered at the origin is invariant under 90° rotations about the origin and reflections across its diagonal y = −x. A 360° rotation about any point is the identity map, so it always carries the square onto itself. Reflection over x = 3 and a 180° rotation about (0,−3) do not fix the square (they move it to a different location).