Constructions and Tilings — Chapter Summary
CBSE · Class 7 · Mathematics
Summary of Constructions and Tilings for CBSE Class 7 Mathematics. Part of the CBSE Class 7 Mathematics syllabus.
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Overview
Geometric construction uses only an unmarked ruler and a compass to draw exact figures such as perpendicular bisectors, right angles, angle bisectors, parallel lines, arches, and regular hexagons. Tiling means covering a region completely without gaps or overlaps. The chapter links geometry and patt
Key Concepts
A perpendicular bisector is a line
A perpendicular bisector is a line that cuts a line segment into two equal parts and meets it at 90°. If two points are at the same distance from the
An eye shape looks symmetrical when
An eye shape looks symmetrical when the upper and lower arcs have equal radii. For the supporting line XY, the centres A and B must satisfy AX = AY =
A 90° angle at a point
A 90° angle at a point O on a line is made by first marking two points X and Y on the line so that O is the midpoint of XY. The perpendicular bisector
The Śulba
The Śulba-Sūtras are ancient Indian geometric texts of the Vedic period. They are part of one of the six Vedāṅgas and describe rope-based methods for
To bisect an angle
To bisect an angle, mark two points A and B on its arms so that OA = OB. Then draw equal-radius arcs from A and B that meet at C. The line OC bisects
Learning Objectives
- Construct a perpendicular bisector using ruler and compass
- Construct a 90° angle at a point on a line
- Use rope-based construction ideas from the Śulba-Sūtras
- Bisect angles and copy angles exactly
- Construct a line parallel to a given line using angle copying
Frequently Asked Questions
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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