Each learning path is one chapter: a guided route through a topic, one small course at a time. Pick a class to see its chapters in order.
A map and the land it shows have the same shape but different sizes. A shadow and the pole that casts it make two triangles with the same shape. Triangles are the building block of geometry. In this chapter you learn when two triangles are congruent, when they are only similar, and what that lets you prove: the basic proportionality theorem, the areas of similar triangles and the Pythagoras theorem. Python draws triangles and checks the ratios.
A wheel, a coin and the rim of a glass are all circles, and every point on them is the same distance from the centre. That one fact leads to many theorems. In this chapter you study chords and the angles they make, the four-sided figures that fit inside a circle, and the tangents that touch a circle at a single point. Python draws circles and checks each theorem on hundreds of random cases.