Class 7 Maths - WEST-BENGAL
Constructions and Tilings
The chapter Constructions and Tilings in West Bengal Board (WBBSE) Class 7 Mathematics introduces students to practical geometry and spatial reasoning. Students learn how to use a compass, ruler, and protractor to draw specific geometrical figures like parallel lines, perpendiculars, and various types of triangles with precision. Additionally, the chapter explores the fascinating concept of tilings or tessellations, teaching how shapes can fit together to cover a flat surface without any gaps or overlaps. Mastering this chapter is essential for scoring well in school geometry assessments and builds a strong foundation for higher-level constructions.
Start Learning FreeKey Concepts
Construction of Parallel Lines
Drawing a line parallel to a given line through an external point by using alternate interior angles or corresponding angles measured with a compass and ruler.
Perpendicular Bisector
Dividing a given line segment into two equal halves at a 90-degree angle using a compass with radius greater than half the segment length.
Construction of Triangles
Drawing triangles based on given parameters such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and RHS (Right-angle-Hypotenuse-Side).
Concept of Tiling (Tessellation)
Covering a two-dimensional plane using one or more geometric shapes in a repeating pattern with no gaps or overlaps.
Angle at a Point for Tilings
The sum of the interior angles of regular polygons meeting at a single vertex in a tiling must always equal 360 degrees.
Important Formulas
Board Exam Info
In the West Bengal Board (WBBSE) Class 7 Mathematics examinations, this chapter typically carries around 8 to 12 marks. Common question types include step-by-step geometric construction problems using a pencil and compass, identifying which regular polygons can form valid tilings, and short descriptive questions based on tessellation patterns.
Frequently Asked Questions
Why do my construction lines not meet properly?
This usually happens if your pencil tip is blunt or if the compass slips. Always use a sharply pointed pencil and keep the compass joint tight.
Can all regular polygons be used for tiling a floor?
No, only regular polygons whose interior angles perfectly divide 360 degrees without leaving a remainder—such as equilateral triangles, squares, and regular hexagons—can tile a plane on their own.
Do I need to write the steps of construction in the exam?
Yes, for construction problems in WBBSE exams, writing brief, numbered steps of construction alongside the actual drawing is usually required to get full marks.
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