Constructions and Tilings

The chapter Constructions and Tilings from NCERT Ganita Prakash - II for Class 7 Mathematics introduces students to the world of geometric constructions using simple tools like a ruler and compass. It covers essential concepts such as perpendicular bisector, angle bisection, and constructing angles like 60°, 90°, and 45°. These constructions help learners understand symmetry, accuracy, and the logic behind geometric designs.

Students also explore how to create different shapes and patterns using these constructions, including arches, hexagons, and decorative designs. The chapter explains how complex figures can be built using basic geometric rules, making learning both creative and practical. It also connects geometry with real-life structures like architectural designs and patterns.

The tiling section introduces the idea of covering surfaces without gaps or overlaps using shapes like rectangles, triangles, and hexagons. Concepts like tangrams, grid tiling, and pattern formation help students develop spatial awareness and reasoning skills. This chapter builds a strong foundation in geometry while encouraging creativity and exploration.