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 - Translations70 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 - Reflections70 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 - Rotations70 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.