Question

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

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 180° about the origin is $(x,y)\to(-x,-y)$.

Step2: Check vertices

For example, if we take vertex $A(1,1)$ of the original square, after 180 - degree rotation about the origin, it should go to $A'(-1,-1)$. If we observe the figure, the transformation follows the rule for 180 - degree rotation about the origin for all vertices.

Answer:

Yes, the rotation is correct.