1. Verify experimentally the properties of rotations, reflections, and translations:

- Lines are taken to lines, and line segments to line segments of the same length.
- Angles are taken to angles of the same measure.
- Parallel lines are taken to parallel lines.

## TranslationA
translation is a "push" or a "slide". The orange original triangle has been pushed 6 units to the right. Later we will calculate the shift by tracking the coordinates of the original and the image.## IXL - Translations## 70 or higher |
## ReflectionA
reflection is a "flip" over a given "line of reflection". In this example the orange original triangle has been flipped over the y-axis (line of reflection) resulting in the blue triangle or image of the original.## IXL - Reflections## 70 or higher |
## RotationA
rotation is a "spin" or a "turn" about a "center of rotation". Typically the center of rotation is the origin. The orange original triangle has been rotated about the origin 180 degrees to the blue image of the original.## IXL - Rotations## 70 or higher |

**Translations, reflections, and rotations**are considered

**rigid**transformations because the image is congruent to the original. Nothing about the shape: sides, angles, or size changes, just the position of the figure.