Question

You transform an arrow using a rotation, a translation, and a second rotation. What do you know about the rotations when the image is pointing in the same direction as the original figure?

Answer 1

When the image aligns with the original figure after applying a rotation, translation, and another rotation, the rotations are equal and opposite.

What does this mean?

This means that the first rotation and the second rotation have the same angle but opposite directions. Their combined effect nullifies each other, resulting in the image pointing in the same direction as the original figure.

This occurrence indicates that the net rotation applied to the arrow through the sequence of transformations is zero, preserving the orientation of the arrow in the same direction as the initial orientation.