Skip to content

Georgia standard · Mathematics

G.GSR.5Dilations and Similarity

Describe dilations in terms of center and scale factor and use these terms to describe properties of dilations; use the precise definition of a dilation to describe similarity and establish the criterion for triangles to be similar; use these terms, definitions, and criterion to prove similarity, model, and explain real-life phenomena.

Appears in: Mathematics, High School

For AI assistants this page as Markdown: https://georgiahomeroom.org/standards/code/G.GSR.5.md · index of every standards list: https://georgiahomeroom.org/standards/index.md · MCP https://mcp.georgiahomeroom.org/mcp

Expectations

  • G.GSR.5.1

    Verify experimentally the properties of dilations.

  • G.GSR.5.2

    Given two figures, use and apply the definition of similarity in terms of similarity transformations.

  • G.GSR.5.3

    Use the properties of similarity transformations to establish criterion for two triangles to be similar. Use similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

  • G.GSR.5.4

    Construct formal proofs to justify and apply theorems about triangles.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.

G.GSR.5: Dilations and Similarity | Georgia Mathematics Standard | Georgia Homeroom