---
title: "G.GSR.4: Angle Relations and Proofs (Georgia Mathematics standard)"
code: G.GSR.4
cite_as: Georgia Standards of Excellence, Mathematics, G.GSR.4
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/G.GSR.4
md_url: https://georgiahomeroom.org/standards/code/G.GSR.4.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/G.GSR.4.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.4: Angle Relations and Proofs

Establish facts between angle relations and generate valid arguments to defend facts established. Prove theorems and solve geometric problems involving lines and angles to model and explain real-life phenomena.

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

## Expectations

- **G.GSR.4.1**: Use the undefined notions of point, line, line segment, plane, distance along a line segment, and distance around a circular arc to develop and use precise definitions and symbolic notations to prove theorems and solve geometric problems.
- **G.GSR.4.2**: Classify quadrilaterals in the coordinate plane by proving simple geometric theorems algebraically.
- **G.GSR.4.3**: Make formal geometric constructions with a variety of tools and methods.
- **G.GSR.4.4**: Prove and apply theorems about lines and angles to solve problems.
- **G.GSR.4.5**: Use geometric reasoning to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of 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.