CBSE · Class 7 · Mathematics · Chapter 14
Constructions and Tilings
Use geometric tools to create accurate constructions and investigate patterns formed through tiling.
Start chapterLessons in this chapter
- 1Eyes and the Perpendicular BisectorDiscover how equal distances turn a symmetric eye design into an exact way to bisect a segment.
- 2Construction of a 90° Angle at a Given PointConstruct a perpendicular exactly where it is needed and discover how a taut rope can carry the same geometry.
- 3Angle Bisection for a DesignUse congruent triangles to divide an angle equally and build designs with exact repeated directions.
- 4Repeating Units and Repeating AnglesCopy an angle exactly, then use equal corresponding angles to construct parallel lines and repeated patterns.
- 5Arch DesignsUse equal support lengths, copied angles, and compass arcs to create symmetric trefoil and pointed arches.
- 6Regular HexagonsBuild a regular hexagon from equilateral triangles, exact angles, and equal compass lengths.
- 7Related ConstructionsCombine bisection, hexagons, circles, and perpendiculars to solve a gallery of geometric design tasks.
- 8Tiling with TangramsRearrange seven pieces into new outlines and learn what it means to cover a region without gaps or overlaps.
- 9Tiling Rectangular GridsDiscover exactly which rectangular grids can be tiled by two-square dominoes and explain the general strategy.
- 10When Tiling Is ImpossibleUse checkerboard colouring to prove that some even-area regions cannot be covered by dominoes.
- 11Tiling the Entire PlaneExplore how repeating shapes cover the plane and connect the patterns to art, buildings, and nature.
- 12Chapter Summary and PracticeConnect the chapter’s exact constructions, design methods, and tiling arguments through a complete recap and mixed practice.