Unpacked Content
Knowledge
Students know:
- The sum of the measures of the angles of a triangle is 180 degrees.
- Properties of rigid motions and dilations.
- Definition of similarity in terms of similarity transformations.
- Techniques for producing images under a dilation and rigid motions.
Skills
Students are able to:
- Apply rigid motion and dilation to a figure.
- Explain and justify whether or not one figure can be obtained from another through a combination of rigid motion and dilation.
Understanding
Students understand that:
- A figure that may be obtained from another through a dilation and a combination of translations, reflections, and rotations is similar to the original.
- When a figure is similar to another the measures of all corresponding angles are equal, and all of the corresponding sides are in the same proportion.
Vocabulary
- Similarity transformation
- Similarity
- Proportionality
- Corresponding pairs of angles
- Corresponding pairs of sides
- Similarity criteria for triangles
- Rigid Motion
