Class 7 Maths - BIHAR
Constructions and Tilings
In the Chapter Constructions and Tilings for Class 7 Bihar Board, students explore the fascinating world of geometric shapes, symmetry, and patterns. This chapter teaches you how to draw perpendicular bisectors, angle bisectors, and parallel lines using a ruler and compass with high precision. You will also learn about tessellations or tilings, which are ways to cover a flat surface using one or more geometric shapes without any gaps or overlaps. Mastering these concepts is very important for scoring well in your board exams, as drawing-based questions and pattern identification carry easy scoring marks.
Start Learning FreeKey Concepts
Angle Bisector
A line that divides a given angle into two equal halves using a compass and a ruler.
Perpendicular Bisector
A line that divides a given line segment into two equal parts at a 90-degree right angle.
Parallel Lines
Lines that are always the same distance apart and never intersect, constructed using alternate interior angles.
Tessellation (Tiling)
The covering of a plane using one or more geometric shapes (tiles) with no overlaps and no gaps.
Condition for Tiling
The sum of the interior angles of regular polygons meeting at a single vertex must equal exactly 360 degrees to form a valid tiling.
Important Formulas
Board Exam Info
In the Bihar Board Class 7 Mathematics examinations, this chapter usually carries around 6 to 8 marks. Common question types include step-by-step construction of specific angles or triangles using a compass, and identifying whether a given shape can tessellate a plane.
Frequently Asked Questions
Can all types of triangles be used for tiling a floor?
Yes, any triangle can tessellate a flat surface because the sum of its interior angles is 180 degrees, which fits evenly into 360 degrees around a vertex.
Is it compulsory to use a pencil and compass for constructions in the exam?
Yes, Bihar Board examiners expect clean geometrical constructions drawn with a sharp pencil and proper tools like a compass and ruler. Freehand drawings will not receive marks.
Why do pentagons not form a regular tessellation by themselves?
Regular pentagons have interior angles of 108 degrees, which do not divide 360 degrees evenly, leaving gaps when placed together.
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