- standard
Understand similarity in terms of similarity transformations
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Similarity, Right Triangles, and Trigonometry
Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
- standard
Understand similarity in terms of similarity transformations
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Similarity, Right Triangles, and Trigonometry
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar;…
- standard
Understand similarity in terms of similarity transformations
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Similarity, Right Triangles, and Trigonometry
The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
- standard
Understand similarity in terms of similarity transformations
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Similarity, Right Triangles, and Trigonometry
A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves…
- standard
Understand similarity in terms of similarity transformations
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Similarity, Right Triangles, and Trigonometry
Verify experimentally the properties of dilations given by a center and a scale factor:
- standard
Make geometric constructions
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
- standard
Make geometric constructions
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding,…
- standard
Prove geometric theorems
- 9th - 12th Grade
- Michigan State Math Standards
- Geometry: Congruence
Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate…