Triangles
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.
Part of Mathematics · High School (9–10) (chapter 9)
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Congruent Triangles and Their Properties
When two triangles are exactly equal: the SAS, ASA, SSS and RHS rules, the properties of an isosceles triangle, and the inequalities between the sides and angles of a triangle.
Similar Triangles and the Basic Proportionality Theorem
Similar figures and the two conditions for similar triangles. Then Thales' theorem, its converse, and the way a line parallel to one side cuts the other two in the same ratio.