Class 7 Maths Part 2 Chapter 6, Constructions and Tilings, teaches classical straightedge-and-compass geometric constructions—perpendicular bisectors, $90^\circ$ and $60^\circ$ 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 $90^\circ$ 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 $360^\circ$, 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
More Chapters
- Previous: Chapter 5: Connecting the Dots…
- Next: Chapter 7: Finding the Unknown
- All Mathematics chapters and the other Class 7 books: Class 7 NCERT books 2026-27
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 ($90^\circ$).
Which regular polygons can tile a flat plane by themselves?
Only equilateral triangles ($60^\circ \times 6 = 360^\circ$), squares ($90^\circ \times 4 = 360^\circ$), and regular hexagons ($120^\circ \times 3 = 360^\circ$) can tile a flat plane by themselves without gaps or overlaps.