Transformations that share similarities with reflection:
* Rotation: A rotation turns a figure around a fixed point (the center of rotation). While a rotation doesn't flip a figure like a reflection, it does change the figure's orientation in a way that is similar to how a reflection reverses it.
* Translation: A translation slides a figure along a straight line. While it doesn't flip the figure, it can be thought of as a "reflection" where the mirror is infinitely far away.
* Glide Reflection: This combines a reflection with a translation along the line of reflection. This is the closest transformation to a reflection in terms of flipping and changing the orientation of the figure.
Important distinctions from reflection:
* Reflection: Creates a mirror image of the figure across a line (the line of reflection). It flips the figure, and everything is reversed left-to-right.
* Rotation: Turns a figure around a point, changing its orientation. It doesn't flip the figure, but it can reverse its orientation.
* Translation: Slides a figure without changing its orientation or size. It doesn't involve any flipping or reversing.
* Glide Reflection: Combines a reflection and a translation, resulting in a flipped and shifted figure.
Key takeaway: While some transformations share characteristics with reflection, they are distinct in their actions and results. Each transformation modifies the figure in a unique way.