G-SRT.A. Understand similarity in terms of similarity transformations

G-SRT.A.1. Verify experimentally the properties of dilations given by a center and a scale factor:

• Dilating a Line

G-SRT.A.1.a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

• Dilating a Line

G-SRT.A.1.b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

• Dilating a Line

G-SRT.A.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

• Are They Similar?
• Congruent and Similar Triangles
• Similar Quadrilaterals
• Similar Triangles

G-SRT.A.3. Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

• Similar triangles