Class 7 Maths - ODISHA
Constructions and Tilings
The chapter 'Constructions and Tilings' in Class 7 Mathematics for the Odisha Board (BSE) introduces students to fundamental geometric drawing techniques and spatial reasoning. You will learn how to use a ruler, compass, protractor, and set-squares to accurately construct line segments, perpendiculars, parallel lines, and various types of triangles. Additionally, the chapter explores the fascinating world of tilings, or tessellations, teaching you how geometric shapes can fit together perfectly without any gaps or overlaps to cover a flat surface. This chapter builds strong drawing skills essential for advanced geometry in board exams.
Start Learning FreeKey Concepts
Line Segment Construction
Drawing a line segment of a given exact length using a ruler and a compass.
Perpendicular Bisector
Constructing a line that divides a given line segment into two equal halves at a 90-degree angle.
Angle Bisector
Dividing any given angle into two equal parts using only a compass and a ruler.
Triangle Construction (SSS, SAS, ASA)
Drawing unique triangles when specific side lengths and angle measures are provided.
Tessellation (Tilings)
Covering a 2D plane using one or more geometric shapes without overlapping or leaving gaps.
Important Formulas
Board Exam Info
In the Odisha (BSE) Class 7 mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include step-by-step construction of triangles given three sides or two sides and an included angle, drawing perpendicular bisectors, and short answer questions identifying shapes that can successfully tile a plane.
Frequently Asked Questions
Why do we need a compass instead of just a ruler for constructions?
A compass allows you to measure and transfer exact lengths accurately and draw precise arcs and circles, which a ruler alone cannot do.
What are the main conditions to construct a unique triangle?
You can construct a unique triangle if you know Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Right angle-Hypotenuse-Side (RHS).
Which regular polygons can tile a floor by themselves?
Equilateral triangles, squares, and regular hexagons can tile a flat surface by themselves because their interior angles perfectly divide 360 degrees.
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