Class 7 Maths - CBSE
Constructions and Tilings
In the 'Constructions and Tilings' chapter of Class 7 CBSE Mathematics, students dive into the fascinating world of geometric shapes, symmetry, and patterns. You will learn how to use essential geometry tools like a ruler, compass, protractor, and set squares to accurately construct perpendicular lines, angle bisectors, and various types of triangles. Additionally, the chapter explores the concept of tessellations—how shapes fit together without any gaps or overlaps to cover a flat surface. Mastering these practical drawing skills and spatial reasoning concepts is crucial for scoring high marks in geometry sections of your school exams.
Start Learning FreeKey Concepts
Line Segment Construction
Using a ruler and compass to draw a line segment of a given exact length and copying an existing line segment.
Perpendicular Bisector
Constructing a line that divides a given line segment into two equal halves at a right angle (90 degrees) using a compass.
Angle Bisector
Dividing any given angle into two equal parts using a compass and a ruler without measuring it with a protractor.
Triangle Construction
Drawing triangles accurately when different combinations of sides and angles are given, such as SSS, SAS, ASA, and RHS criteria.
Tilings and Tessellations
Arranging two-dimensional shapes in a repeating pattern to completely cover a flat plane without leaving any gaps or overlaps.
Important Formulas
Board Exam Info
In CBSE Class 7 Mathematics, this chapter typically carries around 6 to 8 marks. Questions usually include step-by-step construction of triangles and angle bisectors carrying 3-4 marks, alongside objective questions or short notes on identifying valid tessellations and repeating patterns.
Frequently Asked Questions
Why should I use a compass instead of a protractor to draw angles like 60 or 90 degrees?
Using a compass and ruler allows for precise geometrical constructions without rounding errors, which is a fundamental skill tested in board and school exams.
Can any shape be used for tiling a floor?
No, shapes can only tile a flat surface (tessellate) if their interior angles around a common vertex add up exactly to 360 degrees.
Do I need to write the steps of construction in the exam?
Yes! For construction questions, writing brief steps of construction along with your neat pencil drawing is often required to get full marks.
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