This presentation delves deep into similarity and geometric transformations. From historical stars like Euclid and Thales to modern coordinate geometry, algebraic expressions, geometry, fractals, connections with trigonometry, composition of transformations, and practical fields (mathematical modeling, computer graphics). Theoretical foundations, examples, illustrations, and formulas are reinforced. Our color scheme: main accent #1B54DA and neutral accent #D2DDF8 - for visual cohesion and easy readability design