Question

figure y figure z a rotation of about the origin followed by a

Explanation:

Step1: Analyze rotation direction and angle

Observe the orientation change of Figure Y to Figure Z. By comparing the positions of corresponding vertices, we can see that Figure Y is rotated 180° counter - clockwise (or clockwise, since 180° rotation is the same in both directions) about the origin.

Step2: Analyze transformation after rotation

After the 180° rotation, there is no further transformation like translation, reflection etc. visible as the relative position of the figure with respect to the origin after rotation is what is shown as Figure Z.

Answer:

A rotation of 180° about the origin followed by no other transformation.