Question

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 square \(180^{\circ}\) about the origin, the rule for a point \((x,y)\) is \((x,y)\to(-x,-y)\). For example, if we assume a vertex of the original square (pre - image) is \((1,1)\), after a \(180^{\circ}\) rotation about the origin, it should be \((- 1,-1)\). But in the given figure, the correspondence of vertices (e.g., comparing the positions of \(A\) and \(A'\), \(B\) and \(B'\) etc.) does not follow the \(180^{\circ}\) rotation rule \((x,y)\to(-x,-y)\). So the vertices of the image and pre - image do not correspond as they should for a \(180^{\circ}\) rotation about the origin.

Answer:

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