Class 7 Maths Part 2 Chapter 6, Constructions and Tilings, teaches classical straightedge-and-compass geometric constructions—perpendicular bisectors, 90° and 60° angles, angle bisectors, copying angles, Sulba-Sutra cord geometry, pointed arch designs, regular hexagons, and plane tessellations (tilings).
What Class 7 Mathematics Chapter 6 Covers
6.1 Geometric Constructions uses intersecting circle arcs to construct the perpendicular bisector of a line segment, a 90° perpendicular at a point (including ancient Sulba-Sutra methods), the bisector of an angle, a copy of a given angle, pointed arches and regular hexagons.
6.2 Tiling (Tessellations) investigates how polygons tile a flat plane without gaps or overlaps when the angles meeting at every vertex add up to 360°, and creates artistic tessellations.
Exercises in Chapter 6
- Figure it Out exercise sets and Summary with geometric and algebraic puzzles.
Read Class 7 Mathematics Chapter 6 Online
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FAQ
Why does the compass-and-ruler perpendicular bisector construction work?
By drawing intersecting arcs of equal radius from both endpoints X and Y, the intersection points A and B are equidistant from X and Y ($AX = AY = BX = BY$). By triangle congruence, the line AB bisects XY at right angles (90°).
Which regular polygons can tile a flat plane by themselves?
Only equilateral triangles (60° × 6 = 360°), squares (90° × 4 = 360°), and regular hexagons (120° × 3 = 360°) can tile a flat plane by themselves without gaps or overlaps.