Class 7 Maths (Part II) Chapter 6 : Constructions and Tilings | Perpendicular Bisector, 90° Angle, Rectangles & Tiling Designs
Complete Chapter 6 (Part II) guide: constructing perpendicular bisectors using a compass and ruler (the 'Eyes' method), drawing a 90° angle at a point, bisecting an angle, constructing a rectangle using only a compass and ruler, ancient Indian construction methods from Śulba-Sūtras, exploring tiling patterns with regular polygons (why squares, equilateral triangles, and hexagons tile, but pentagons don't), plus solved examples and creative design activities for CBSE Class 7 Maths
Updated: 6 months ago

Constructions and Tilings
Class 7 Mathematics Chapter 6 | Complete Guide | Ruler & Compass 2025
Chapter at a Glance – Constructions and Tilings
This chapter focuses on exact geometric constructions using only ruler and compass, symmetry, special angles, regular polygons, and tiling concepts.
Main Topics Covered
- Perpendicular bisector and its properties
- Constructing 90°, 60°, 45°, 30°, 15° angles
- Angle bisector and copying an angle
- Constructing parallel lines
- Regular hexagon and 60° angle via equilateral triangle
- Arch designs and symmetric figures
- Tiling regions and the plane (regular polygons)
Key Takeaways for Exams
Perpendicular Bisector
Line that bisects segment at 90°; points equidistant from ends lie on it.
90° Angle
Using perpendicular bisector of segment with midpoint on line.
Angle Bisector
Equal arcs from sides intersect on bisector.
60° Angle
From equilateral triangle construction.
Regular Hexagon
Six equilateral triangles around centre.
Tiling
Only equilateral triangles, squares, regular hexagons tile the plane.



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