Essential Geometry Formula Sheet

This indispensable geometry cheat sheet is your compact companion to the wonderful world of shapes, angles, and spatial reasoning. Below is a brief description:

1. Key Definitions: This section provides succinct explanations of basic geometry terminology like point, line, plane, ray, line segment, angle, polygon, circle, etc. You’ll also find the different types of angles and lines defined here.
2. Angles and Lines: A handy collection of formulas related to angles, such as the sum of the angles in a triangle or polygon, and properties of parallel and perpendicular lines. It also includes an explanation of complementary, supplementary, and vertical angles.
3. Triangle Properties: This section provides a quick review of the properties of different types of triangles (equilateral, isosceles, scalene, right-angled) and key theorems including Pythagorean theorem, and concepts like congruence and similarity.
4. Quadrilateral Properties: From squares and rectangles to trapezoids and parallelograms, this section presents properties and formulas for various quadrilaterals.
5. Circles: An overview of circle-related terms (radius, diameter, chord, tangent, etc.), and key theorems related to arcs, sectors, and central/inscribed angles.
6. Coordinate Geometry: A guide to equations of lines, slopes, distance formula, midpoint formula, and the equation of a circle in the Cartesian plane.
7. 3D Geometry: This section explains the fundamentals of 3-dimensional geometry, featuring solid shapes like spheres, cylinders, cones, and prisms, along with their volumes and surface area formulas.
8. Trigonometry Basics: This part includes basic trigonometric ratios, sine, cosine, and tangent, their relationships in right-angled triangles, and the sine and cosine rules.
9. Geometric Transformations: Definitions and properties of rotations, translations, reflections, and dilations.
10. Additional Formulas: This covers a few extra but important concepts like the equation of a line in different forms (slope-intercept, point-slope), laws of exponents and roots, and basic geometric sequence and series formulas.

This cheat sheet serves as a fantastic summary of key geometry concepts, whether you’re studying for an exam, checking your homework, or just need a refresher. Geometry has never been so accessible and user-friendly!