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Constructions and Tilings

CBSE · Class 7 · Mathematics

Complete topic list for Constructions and Tilings in CBSE Class 7 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

54 questions60 flashcards5 concepts

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4 Topics · CBSE Class 7 Mathematics

Topics in Constructions and Tilings

1

Geometric Constructions

  • An eye figure is symmetrical only when the upper and lower arcs have equal radius.
  • For symmetry in the eye figure, AX = AY = BX = BY.
  • The points A and B lie on the perpendicular bisector of XY because they are equidistant from X and Y.
2

Perpendicular Bisector and Right Angle Construction

  • Draw equal-radius arcs from X and Y above and below XY to locate A and B.
  • Join A and B to get the perpendicular bisector of XY.
  • A point equidistant from X and Y lies on the perpendicular bisector of XY.
3

Angle Bisection, Angle Copying, and Parallel Lines

  • Angle bisection works by choosing A and B so that OA = OB.
  • Then equal-radius arcs from A and B meet at C.
  • The line OC bisects angle AOB.
4

Trefoil Arch, Pointed Arch, and Regular Hexagon

  • A symmetric trefoil or arch design needs equal side lengths on the support lines and equal base angles.
  • For symmetry, AB = CD and ∠BAD = ∠CDA.
  • A pointed arch can be made from two equal line segments whose midpoints are used as supports.

Key Concepts

Central concept: Constructions and Tilings

Geometric constructionsAncient Indian construction methodsSymmetry in eye figuresRegular polygons and angle formationArch designsTilings

Frequently Asked Questions

What are the important topics in Constructions and Tilings for CBSE Class 7 Mathematics?
Constructions and Tilings covers several key topics that are frequently asked in CBSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Constructions and Tilings — CBSE Class 7 Mathematics?
Understand the core concepts first, then work through the 54 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Constructions and Tilings

All 15 chapters — CBSE Class 7 Mathematics Syllabus

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