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Study Plan

Constructions and Tilings — Study Plan

CBSE · Class 7 · Mathematics

A step-by-step study plan for Constructions and Tilings, CBSE Class 7 Mathematics: what to learn first, what to practise and when to revise.

54 questions60 flashcards7 formulas & key relations5 concepts

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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: Geometric Constructions, Perpendicular Bisector and Right Angle Construction, Angle Bisection, Angle Copying, and Parallel Lines.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 54 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Constructions and Tilings after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • AX = AY = BX = BY is the symmetry condition for the eye figure.
  • Any point equidistant from X and Y lies on the perpendicular bisector of XY.
  • The perpendicular bisector is a line that is both perpendicular to a segment and cuts it into two equal parts.
  • A 45° angle can be made by bisecting a 90° angle.
  • Angle bisection uses equal lengths OA and OB and equal-radius arcs from A and B.
  • SSS congruence helps prove the angle bisector construction.
  • A regular polygon has equal sides and equal angles.
  • Equilateral triangle = regular polygon with 3 sides.
  • Square = regular polygon with 4 sides.

Common Mistakes to Avoid

Any point that is equally far from X and Y can lie anywhere on the page.

The line joining the two arc-intersection points in the eye construction is only a drawing line, not a perpendicular bisector.

To construct a perpendicular bisector, the arcs above and below XY must use different radii.

Memory Tips

Perpendicular bisector

Eye symmetry condition

Construction of the perpendicular bisector using arcs

Point equidistant from X and Y lies on the perpendicular bisector

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Frequently Asked Questions

What are the important topics in Constructions and Tilings for CBSE Class 7 Mathematics?
Key topics in Constructions and Tilings include Geometric Constructions, Perpendicular Bisector and Right Angle Construction, Angle Bisection, Angle Copying, and Parallel Lines, Trefoil Arch, Pointed Arch, and Regular Hexagon. Study these first, then practise questions on each for Class 7 exams.
How should I revise Constructions and Tilings for Class 7 exams?
Learn the core ideas first, then work through the 54 practice questions on Constructions and Tilings. Revise 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 CBSE Class 7 Mathematics Study Plan

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