Definition: The Pythagorean Theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Highlight: Special attention is given to characteristic triangles (Trójkąty Charakterystyczne) and their properties, particularly the 30-60-90 triangle.

Example: For a circle inscribed in a square with side length a, the radius R = a/2

Vocabulary: "Koło" means circle, "Sześciokąt Foremny" means regular hexagon, and "Pierścień Kołowy" refers to an annulus

Definition: Planimetry is the study of plane geometry, dealing with two-dimensional shapes and their properties.

Highlight: Each shape is presented with its essential measurements including perimeter (Obw), area (P), and special measurements like diagonals $d$ or heights $h$.

Example: For a square with side length a, the diagonal d = a√2 and area P = a²

Vocabulary: "Obw" stands for obwód (perimeter), "P" for pole (area), and "h" for wysokość (height)