3.1Introduction to Transformations
Quick Answer
A transformation maps every point of a figure to a new location. The original figure is the pre-image; the result is the image. Rigid motions (isometries) preserve size and shape: translations, reflections, rotations. Non-rigid transformations (like dilations) change size.
Essential Question
What is a transformation, and what distinguishes a rigid motion from a non-rigid transformation?
Learning Goals
- 1Define transformation, pre-image, and image.
- 2Identify rigid motions (isometries).
- 3Classify transformations as rigid or non-rigid.
- 4Use prime notation to label image points.
Key Vocabulary
Transformation
A function that maps each point of a figure to a new location.
Pre-image
The original figure before a transformation.
Image
The resulting figure after a transformation.
Rigid motion (Isometry)
A transformation that preserves distance and angle measure; the image is congruent to the pre-image.
Prime notation
Using A′ (A-prime) to label the image of point A.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.