Class 7 Maths - TAMILNADU
Constructions and Tilings
The chapter 'Constructions and Tilings' in Class 7 Mathematics under Tamil Nadu Samacheer Kalvi introduces students to the practical side of geometry using basic tools like a ruler, compass, protractor, and set squares. Students learn step-by-step methods to construct fundamental geometric figures such as perpendicular bisectors, angle bisectors, and specific angles. The second half of the chapter explores the fascinating world of tessellations or tilings, where geometric shapes cover a plane without any gaps or overlaps. This chapter is vital for building spatial visualization skills, precision in drawing, and lays a strong foundation for advanced geometrical theorems in board exams.
Start Learning FreeKey Concepts
Perpendicular Bisector
A line that divides a given line segment into two equal halves at a right angle (90 degrees), constructed using a ruler and compass.
Angle Bisector
A ray that divides a given angle into two exact equal halves, drawn accurately using a compass.
Standard Angle Construction
Techniques to construct specific angles like 60°, 120°, 90°, and 45° using only a compass and a ruler without a protractor.
Tessellation (Tiling)
An arrangement of closed shapes that completely cover a two-dimensional plane without overlapping or leaving any empty spaces.
Regular Tessellation
A tiling pattern made entirely by repeating a single type of regular polygon, such as equilateral triangles, squares, or regular hexagons.
Important Formulas
Board Exam Info
In the Tamil Nadu Samacheer Kalvi Class 7 Mathematics examinations, this chapter typically carries around 6 to 10 marks. Questions frequently appear as practical construction problems requiring a clear step-by-step outline (e.g., constructing a 30° angle or a perpendicular bisector) and short-answer conceptual questions about whether specific shapes can form tessellations.
Frequently Asked Questions
Why do we use a compass instead of a protractor for constructing angles like 60 degrees?
A compass allows for geometric precision based on equilateral triangles, which ensures exact mathematical accuracy compared to a protractor.
Can any random shape be used for tiling a floor?
No, shapes must be able to fit around a point so that their adjacent angles sum up to exactly 360 degrees without leaving gaps.
Is it compulsory to write the steps of construction in the exam?
Yes, writing the brief steps of construction alongside your final diagram is usually required to score full marks in geometry construction questions.
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