Constructions and Tilings
CBSE · Class 7 · Mathematics
Step-by-step guide to study Constructions and Tilings in CBSE Class 7 Mathematics. Topics to cover, practice strategy, and time allocation.
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Study Plan
Learn the Theory
Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.
Practice Problems
Solve textbook exercises and additional practice questions. There are 54 questions available for this chapter.
Revise & Test
Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.
Spaced Revision
Revisit Constructions and Tilings after a week. Use flashcards for quick recall. Solve previous year questions from 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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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.
More resources for Constructions and Tilings
Practice Quiz
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Important Questions
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Revision Notes
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Formula Sheet
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Chapter Summary
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Concept Maps
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Flashcards
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Syllabus
What topics to cover
NCERT Solutions
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Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for CBSE Class 7 Mathematics.