# Proportionality Theorem and Parallel Lines

> The proportionality theorem is one of the most important results in Euclidean Geometry for Grade 12 Technical Mathematics. It describes the relationship that arises when a line drawn parallel to one…

- Page: https://www.hlayiso.com/grade-12/technical-mathematics/notes/euclidean-geometry/proportionality-theorem-and-parallel-lines

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Grade 12](https://www.hlayiso.com/grade-12) › [Technical Mathematics](https://www.hlayiso.com/grade-12/technical-mathematics) › [Notes](https://www.hlayiso.com/grade-12/technical-mathematics/notes) › [Euclidean Geometry](https://www.hlayiso.com/grade-12/technical-mathematics/notes/euclidean-geometry) › [Proportionality Theorem and Parallel Lines](https://www.hlayiso.com/grade-12/technical-mathematics/notes/euclidean-geometry/proportionality-theorem-and-parallel-lines)

## Full notes

This is a preview of the Proportionality Theorem and Parallel Lines notes for Grade 12 Technical Mathematics. Create a free Hlayiso account to read the full notes, practise every question and track your progress.

## More in Euclidean Geometry

- [Similar and Congruent Triangles](https://www.hlayiso.com/grade-12/technical-mathematics/notes/euclidean-geometry/similar-and-congruent-triangles) — Next section
- [All Euclidean Geometry sections](https://www.hlayiso.com/grade-12/technical-mathematics/notes/euclidean-geometry)

## Frequently asked questions

### What will I learn in "Proportionality Theorem and Parallel Lines"?

This section covers Proportionality Theorem and Parallel Lines as part of Euclidean Geometry in Grade 12 Technical Mathematics. You'll find clear explanations, worked examples, and key definitions aligned to the CAPS curriculum.

### Is this section aligned with the CAPS curriculum?

Yes. All notes on Hlayiso, including "Proportionality Theorem and Parallel Lines", are written against the official CAPS curriculum and ATP for Grade 12 Technical Mathematics.

### What should I study after "Proportionality Theorem and Parallel Lines"?

Continue with the next section in Euclidean Geometry, or test your understanding with the interactive quiz linked to this section.

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.