Class 7 Maths - PUNJAB
Constructions and Tilings
The chapter 'Constructions and Tilings' in Class 7 Mathematics introduces students to the fascinating world of geometry and design. Students learn how to use essential geometrical tools like a ruler, compass, protractor, and set squares to accurately construct lines, angles, perpendiculars, and triangles. The chapter also explores tilings or tessellations, teaching how different shapes fit together without any gaps or overlaps to cover a flat surface. This chapter is vital for Punjab (PSEB) board exams as it tests both precision in drawing and creative logical thinking through practical geometry problems.
Start Learning FreeKey Concepts
Perpendicular Bisector
A line that divides a given line segment into two equal halves at a right angle (90 degrees), constructed using a compass.
Angle Bisector
A ray that divides a given angle into two exactly equal smaller angles using compass constructions.
Construction of Triangles
Drawing triangles accurately using given measurements, such as Side-Side-Side (SSS) or Side-Angle-Side (SAS) criteria.
Tiling (Tessellation)
Covering a 2D plane completely using one or more geometric shapes (tiles) without leaving any gaps or overlapping.
Regular Tessellation
A tiling pattern made up of only one type of regular polygon, such as equilateral triangles, squares, or regular hexagons.
Important Formulas
Board Exam Info
This chapter typically carries around 6 to 8 marks in the Punjab (PSEB) Class 7 Mathematics examination. Common question types include step-by-step construction of specific angles (like 30°, 45°, 60°, 90°), drawing perpendicular bisectors, constructing triangles with given dimensions, and identifying shapes that can or cannot form a tiling pattern.
Frequently Asked Questions
Why do we need a compass for constructions instead of a ruler?
A compass ensures exact and equal measurements of length, which is necessary to draw precise geometric shapes like circles, arcs, and bisectors.
Can any shape be used for tiling a floor?
No, shapes can only tile a floor without gaps if the sum of the angles meeting at any single vertex equals exactly 360 degrees.
How do I know if my triangle construction is correct?
Check your constructed sides with a ruler and angles with a protractor to ensure they match the given measurements in the question.
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