A guide aimed at senior secondary students, this book explains polygons—2D shapes made of straight-line segments—through clear definitions, properties, and illustrations. It covers everything from basic classification to angle sums, diagonals, and special types like regular, convex, and concave polygons.
English
Last updated
Mon, 09-Jun-2025
The book explores polygons systematically, starting with their fundamental definition—a closed plane figure with at least three straight sides. It then builds on this foundation through structured content:
Classification & Properties
Explains differences between regular, irregular, convex and concave polygons; covers naming conventions using Greek prefixes and outlines formulae for angle measures.
Angle Relations
Derives the important result for interior angles: sum = (n–2)×180°, and shows that exterior angles always sum to 360°. Includes step-by-step examples for hexagons and other n-gons.
Diagonals and Triangles
Presents the formula for diagonals n(n–3)/2 and discusses how an n-gon can be partitioned into (n–2) triangles—emphasizing applications in area calculations.
Perimeter & Area
Integrates standard formulae (e.g., perimeter = n × s for regular polygons) and offers guidance on deriving area using triangle partitioning for simple polygons, along with worked-out numeric examples.
Special Quadrilaterals
Dedicates a section to polygons like parallelograms, rectangles, rhombi, squares, trapezoids and kites—highlighting key properties and differences between them.
Real‑world Applications & Practice
Enriches the theory with practice problems, illustrative quizzes, and everyday examples—showing where polygons appear in architecture, design, and engineering contexts.
Worked Examples & Formulas
Each topic is supported by clear derivations and worked solutions. Formulae are tabulated for quick reference—ideal for NCERT and exam preparation.
Through its structured approach, the book helps students progress from basic definitions to problem-solving, suitable for both classroom learning and self-study.
School leader in olympiads
24-Jun-2025
Super helpful book! It starts from the very basics and slowly builds up in a way that just makes sense. The formulas are explained properly, not just thrown at you. Loved how they broke down things like angle sums and diagonals with proper logic. The section on special quadrilaterals was really neat—it cleared up all the confusion I had between rhombus and rectangle. Also, the worked examples and practice questions made it easier to revise. The real-world uses were a bonus too—never thought polygons showed up so much in real life! Definitely one of those books that actually makes geometry less boring.
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