Class 7 · Ganita Prakash
Unit 14 · Class 7Ganita Prakash

Constructions and Tilings

Constructing angles/triangles and exploring tilings.

Lessons
3 concepts
  1. 1
    Angle Constructions
    60°60°: arc from origin, then equal arc from where it crosses base. 90°90°: perpendicular bisector construction. 120°120°: two 60°60° arcs.
  2. 2
    Triangle Constructions
    SSS: draw one side, arcs of other two lengths from each end. SAS: side, angle at endpoint, then other side.
  3. 3
    Tilings
    A regular polygon tiles alone iff interior angle divides 360°. Triangle 60°∣36060° | 360, square 90°∣36090°|360, hexagon 120°∣360120°|360. Pentagon 108°108° doesn't.
Skills to practise
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026