Class 8 · Chapter 4

Practical Geometry

Constructing quadrilaterals when specific measurements are given.

Read the full chapter
Tip: open the NCERT PDF for the original chapter text alongside the notes here.
Detailed theory
Need 55 measurements (side + side + side + diagonal + angle etc). Same as splitting into two triangles.
Key concepts & formulas
01
A quadrilateral is uniquely constructed if 55 measurements are known.
02
44 sides and 11 diagonal \Rightarrow unique quadrilateral.
03
33 sides and 22 diagonals \Rightarrow unique quadrilateral.
04
22 adjacent sides and 33 angles \Rightarrow unique.
05
44 sides and 11 angle \Rightarrow unique.
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026