Experts have designed these Class 7 Maths Notes and Part 2 Chapter 6 Constructions and Tilings Class 7 Notes for effective learning.
Class 7 Maths Chapter 6 Constructions and Tilings Notes
Class 7 Constructions and Tilings Notes
→ Drawing basic shapes like straight lines and angles helps us learn the basics of geometry. We have practised fun drawing activities, like the ‘Eyes’ construction, where we made sure the upper and lower arcs were perfectly symmetrical.
The idea of congruence is that when shapes should be exact copies of each other-same size and same shape. Quadrilaterals can be constructed using ruler and compass. Angles can be measured and drawn using protractors.
→ A division on a line, or any geometrical objects into two identical parts is called bisection.
→ The perpendicular bisector of a line segment is constructed by finding two points that are equidistant from the segment’s endpoints using arcs of the same radius. The line connecting these intersection points defines the bisector.
→ Ancient Indian texts, such as the sulba-Sutras, described methods for constructing perpendiculars and bisectors using a rope as the construction tool.
→ Angle bisection is the process of dividing a given angle into two identical angles. This construction is justified using the SSS congruence rule to prove that the resulting two smaller triangles are equal.
→ A regular polygon has equal sides and equal angles like: equilateral triangle, regular polygon with 4 sides, i.e., square.
→ A tangram is a mathematical puzzle made of seven geometric pieces that can form different figures.
→ Tiling (Tessellation) is the geometric concept of covering a surface entirely with repeating units without any gaps or overlaps. This requires that the angles of the repeating units be exact copies to ensure a perfect fit.