Class 6 Maths Chapter 8, Playing with Constructions, teaches ruler, compass and protractor geometry—drawing circles, arcs and wave/eye artwork, constructing squares and rectangles from side lengths or diagonal angles, and finding points equidistant from two given points.
What Class 6 Mathematics Chapter 8 Covers
8.1–8.3 Compass Artwork & Constructing Squares and Rectangles uses a compass to mark all points at a fixed distance (radius) from a centre P—forming circles and arcs—to construct Wavy Wave, Eyes and 4-petal flower designs (8.1), defines squares and rectangles by their side and 90° angle properties (8.2), and gives step-by-step ruler-and-protractor/compass constructions for squares and rectangles (8.3).
8.4–8.6 Rectangle Explorations, Diagonals & Equidistant Points constructs subdivided rectangles, squares within rectangles, Falling Squares and Shading grids (8.4), explores how rectangle diagonals are equal and bisect each other—constructing rectangles given one side and the angle between a diagonal and side (8.5)—and uses intersecting compass arcs of equal radius to locate points equidistant from two given points (‘House’ construction, 8.6).
Exercises in Chapter 8
- Figure it Out exercise sets across every section with step-by-step Chapter Solutions included at the end of the PDF.
- Summary key formulas, visual proofs, and mathematical puzzles.
Read Class 6 Mathematics Chapter 8 Online
More Chapters
- Previous: Chapter 7: Fractions
- Next: Chapter 9: Symmetry
- Hindi medium: Class 6 Maths Chapter 8 PDF in Hindi (Ganita Prakash)
- All Mathematics chapters and the other Class 6 books: Class 6 NCERT books 2026-27
- All Class 1 to 12 NCERT Textbooks: NCERT Books PDF (Class 1–12)
FAQ
How do you use a compass to find a point at a given distance from two points B and C?
Open the compass to the required distance, draw an arc centred at B and another arc of the same radius centred at C; the point where the two arcs intersect is at the exact required distance from both B and C.
What are the two key properties of the diagonals of a rectangle?
The two diagonals of a rectangle are always equal in length and divide (bisect) each other into two equal halves at their point of intersection.