Question

examining a rotation
micaela tried to rotate the square 180° about the origin. is her rotation correct? if not, explain why.
no, she translated the figure instead of rotating it.
no, she reflected the figure instead of rotating it.
no, the vertices of the image and pre - image do not correspond.
yes, the rotation is correct.

Explanation:

When rotating a point \((x,y)\) \(180^{\circ}\) about the origin, the rule is \((x,y)\to(-x, -y)\).
For example, if we assume a vertex of the square (pre - image) is \(A(1,1)\), after a \(180^{\circ}\) rotation about the origin, it should be \(A'(- 1,-1)\). But if we check the given figure, the vertices of the image and pre - image do not follow the \(180^{\circ}\) rotation rule.

Answer:

No, the vertices of the image and pre - image do not correspond.