Question

what combination of transformations is shown below?
rotation, then reflection
rotation, then translation
reflection, then translation
reflection, then rotation

Explanation:

1. Analyze the transformation from 1 to 2:

• When going from figure 1 to figure 2, the orientation of the figure changes. A rotation is a transformation that turns a figure around a fixed point. By observing the shape and its orientation, we can see that figure 2 is a rotated version of figure 1.

1. Analyze the transformation from 2 to 3:

• When going from figure 2 to figure 3, the position of the figure changes without a change in orientation (compared to the general shape - after rotation, the movement is just a shift). A translation is a transformation that slides a figure from one position to another without rotating or resizing it.

Answer:

rotation, then translation