def test_distance(): assert distance((0,0), (3,4)) == 5.0

## Key Terms - **Point**: Exact location, no size (e.g., A, B) - **Line**: Extends infinitely in both directions (e.g., ↔AB) - **Ray**: One endpoint, extends infinitely one way (→AB) - **Segment**: Two endpoints (—AB)

### **2. `requirements.txt`**

## Running Animations ```bash manim lessons/03_triangles/animations/pythagorean_visual.py PythagoreanTheorem -p </code></pre> <h2>Using Jupyter Notebooks</h2> <pre><code class="language-bash">jupyter lab lessons/01_points_lines/interactive.ipynb </code></pre> <h2>Writing Your Own Lessons</h2> <p>Add a new folder under <code>lessons/</code> with <code>lesson_notes.md</code>, <code>interactive.ipynb</code>, and <code>animations/</code>.</p> <pre><code> ---

geometrylessonsgithub Description: Interactive geometry lessons with visual proofs, animations, and computational exercises. Built with Manim and Jupyter. 📁 Repository Structure geometrylessonsgithub/ │ ├── README.md ├── LICENSE ├── requirements.txt ├── setup.py ├── .gitignore │ ├── lessons/ │ ├── 01_points_lines/ │ │ ├── README.md │ │ ├── lesson_notes.md │ │ ├── interactive.ipynb │ │ └── animations/ │ │ ├── point_construction.py │ │ ├── line_ray_segment.py │ │ └── media/ │ │ │ ├── 02_angles/ │ │ ├── README.md │ │ ├── lesson_notes.md │ │ ├── interactive.ipynb │ │ └── animations/ │ │ ├── acute_obtuse_right.py │ │ ├── complementary_supplementary.py │ │ └── angle_bisector.py │ │ │ ├── 03_triangles/ │ │ ├── README.md │ │ ├── lesson_notes.md │ │ ├── interactive.ipynb │ │ └── animations/ │ │ ├── triangle_types.py │ │ ├── pythagorean_visual.py │ │ └── triangle_inequality.py │ │ │ ├── 04_circles/ │ │ ├── README.md │ │ ├── lesson_notes.md │ │ ├── interactive.ipynb │ │ └── animations/ │ │ ├── circumference_diameter.py │ │ ├── inscribed_angles.py │ │ └── tangent_radius.py │ │ │ └── 05_coordinate_geometry/ │ ├── README.md │ ├── lesson_notes.md │ ├── interactive.ipynb │ └── animations/ │ ├── distance_midpoint.py │ ├── slope_intercept.py │ └── circle_equation.py │ ├── exercises/ │ ├── 01_points_lines_exercises.ipynb │ ├── 02_angles_exercises.ipynb │ ├── 03_triangles_exercises.ipynb │ ├── 04_circles_exercises.ipynb │ ├── 05_coordinate_exercises.ipynb │ └── solutions/ │ └── (same filenames with _solutions) │ ├── tools/ │ ├── geometry_utils.py │ ├── plot_helpers.py │ └── interactive_widgets.py │ ├── visual_proofs/ │ ├── pythagoras_animated.py │ ├── circle_area_derivation.py │ ├── triangle_sum_180.py │ └── pi_visual.py │ ├── tests/ │ ├── test_geometry_utils.py │ └── test_animations.py │ ├── docs/ │ ├── index.md │ ├── installation.md │ ├── usage.md │ └── contributing.md │ └── gallery/ ├── images/ └── videos/ 📄 Core File Contents 1. README.md (top-level) # Geometry Lessons with Code

class PointConstruction(Scene): def construct(self): dot_a = Dot(LEFT * 2, color=BLUE) dot_b = Dot(RIGHT * 2, color=RED) label_a = MathTex("A").next_to(dot_a, DOWN) label_b = MathTex("B").next_to(dot_b, DOWN)

### **3. Sample Lesson: `lessons/01_points_lines/lesson_notes.md`**

Interactive geometry lessons combining visual animations (Manim) and computational exploration (Jupyter). git clone https://github.com/yourusername/geometrylessonsgithub.git cd geometrylessonsgithub pip install -r requirements.txt </code></pre> <p>Then open any <code>interactive.ipynb</code> in Jupyter Lab.</p> <h2>📚 Lessons</h2> <ol> <li><strong>Points, Lines, Rays, Segments</strong> – Foundations</li> <li><strong>Angles</strong> – Types, bisectors, relationships</li> <li><strong>Triangles</strong> – Types, Pythagorean theorem, inequalities</li> <li><strong>Circles</strong> – Radius, diameter, inscribed angles, tangents</li> <li><strong>Coordinate Geometry</strong> – Distance, slope, line/circle equations</li> </ol> <h2>🎬 Example Visual</h2> <p>Run a visual proof:</p> <pre><code class="language-bash">manim visual_proofs/pythagoras_animated.py PythagoreanTheorem -pqh </code></pre> <h2>🧠 Exercises</h2> <p>Each lesson includes an interactive notebook with:</p> <ul> <li>Auto-graded quizzes (using <code>ipywidgets</code>)</li> <li>Dynamic geometry plots (Matplotlib/Plotly)</li> <li>Coding challenges</li> </ul> <h2>🤝 Contributing</h2> <p>See <code>docs/contributing.md</code>.</p> <h2>📖 License</h2> <p>MIT</p> <pre><code> ---