Unpacked Content
Knowledge
Students know:
- Characteristics of translations, rotations, and reflections including the definition of congruence.
- Techniques for producing images under transformations using graph paper, tracing paper, compass, or geometry software.
- Geometric terminology (e.g., angles, circles, perpendicular lines, parallel lines, and line segments) which describes the series of steps necessary to produce a rotation, reflection, or translation.
Skills
Students are able to:
- Use geometric descriptions of rigid motions to accurately perform these transformations on objects.
- Communicate the results of performing transformations on objects.
Understanding
Students understand that:
- Any distance preserving transformation is a combination of rotations, reflections, and translations.
- If a series of translations, rotations, and reflections can be described that transforms one object exactly to a second object, the objects are congruent.
Vocabulary
- Rigid motions
- Congruence
