Class 7 Maths - MAHARASHTRA
Constructions and Tilings
The chapter 'Constructions and Tilings' in the Maharashtra State Board (MSBSHSE) Class 7 mathematics curriculum introduces students to the practical side of geometry. Students learn to use geometric instruments like a ruler, compass, protractor, and set-squares to accurately draw fundamental shapes such as perpendicular bisectors, angle bisectors, and triangles. Additionally, the chapter explores the fascinating concept of tessellation or tiling—covering a plane using flat shapes without gaps or overlaps. This chapter is vital for developing precision, spatial awareness, and problem-solving skills, and frequently features in board-related geometry assessments.
Start Learning FreeKey Concepts
Perpendicular Bisector of a Line Segment
A line that divides a given line segment into two equal halves at a right angle (90 degrees).
Angle Bisector
A ray that divides a given angle into two angles of equal measure.
Properties of Triangle Construction
Rules for drawing a triangle when given specific measurements, such as three sides (SSS), two sides and the included angle (SAS), or two angles and the included side (ASA).
Tessellation (Tilings)
The arrangement of shapes closely fitted together in a repeated pattern without any gaps or overlaps.
Tessellation Angle Condition
For regular polygons to form a valid tiling at a single vertex, the sum of the interior angles meeting at that point must be exactly 360 degrees.
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 7 mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include step-by-step geometric constructions (such as drawing angle and perpendicular bisectors), drawing triangles using given data, and identifying whether specific shapes can form a valid tiling pattern.
Frequently Asked Questions
Why do arcs intersect above and below the line segment when drawing a perpendicular bisector?
The intersecting arcs help locate two equidistant points from the endpoints of the line segment. Connecting these two points creates a line that is perpendicular and passes through the exact midpoint.
Can any shape be used for tiling?
No, shapes can only form a tiling if they fit together without leaving gaps or overlapping. The sum of the angles meeting at any vertex must equal 360 degrees.
Do I need to keep my construction arcs visible in the exam?
Yes, never erase your construction arcs and lines. Examiners look at these pencil marks to verify that you used the compass correctly rather than measuring with a ruler or protractor.
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