Class 7 Maths - TELANGANA
Constructions and Tilings
The chapter 'Constructions and Tilings' in Class 7 Mathematics helps students explore the practical side of geometry using tools like a ruler, compass, protractor, and set squares. Students learn to draw accurate geometric shapes such as parallel lines, perpendicular bisectors, and various types of triangles with given measurements. The chapter also introduces the fascinating concept of tilings or tessellations, showing how shapes can fit together perfectly without gaps or overlaps to cover a plane. This topic is vital for Telangana (TSBSE) board exams as it tests both precision in drawing and creative spatial reasoning.
Start Learning FreeKey Concepts
Perpendicular Bisector
A line that divides a given line segment into two equal halves at a 90-degree angle, constructed using a compass and ruler.
Parallel Lines
Lines that never intersect and always remain at the same distance apart, constructed by drawing equal alternate interior or corresponding angles.
Triangle Construction
Drawing triangles accurately when given specific measurements, such as Side-Side-Side (SSS) or Side-Angle-Side (SAS) criteria.
Tiling (Tessellation)
Covering a flat surface using one or more geometric shapes (tiles) with no gaps and no overlapping.
Angle Sum Property in Tilings
At any vertex where regular tiles meet, the sum of the interior angles must equal exactly 360 degrees to form a valid tiling.
Important Formulas
Board Exam Info
In Telangana (TSBSE) board-pattern exams, this chapter generally carries around 4 to 8 marks. Questions usually include a step-by-step construction problem (such as constructing a triangle or a perpendicular bisector) worth 4 marks, and short answer or conceptual questions about tilings and tessellations worth 1 or 2 marks.
Frequently Asked Questions
Why do my construction lines not meet properly?
This usually happens if your pencil is not sharp, your ruler slips, or the compass legs are loose. Always use a sharply sharpened pencil and keep your compass screw tight.
Can any polygon be used for tiling a floor?
No, only polygons whose interior angles can divide 360 degrees completely without leaving a remainder (like equilateral triangles, squares, and regular hexagons) can form regular tilings on their own.
Do I need to write the steps of construction in the exam?
Yes, for construction questions in TSBSE exams, writing brief, numbered steps of construction alongside your neat geometric diagram is often required to get full marks.
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