---
title: "G.GSR.5: Dilations and Similarity (Georgia Mathematics standard)"
code: G.GSR.5
cite_as: Georgia Standards of Excellence, Mathematics, G.GSR.5
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/G.GSR.5
md_url: https://georgiahomeroom.org/standards/code/G.GSR.5.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/G.GSR.5.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# G.GSR.5: Dilations 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.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## 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.