Constructions and Tilings
CBSE · Class 7 · Mathematics
All formulas from Constructions and Tilings in CBSE Class 7 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
1. Perpendicular Bisector and Symmetry
AX = AY = BX = BY
∠AOX + ∠AOY = 180°, thus ∠AOX = ∠AOY = 90°
2. Constructing a 90° Angle and a 45° Angle
∠AOX + ∠AOY = 180°, thus ∠AOX = ∠AOY = 90°
360° ÷ 8 = 45°
3. Angle Bisection, Copying Angles, and Parallel Lines
If A and B are marked such that OA = OB, and if C is chosen such that BC = AC, then by the SSS congruence condition, ΔOBC ≅ ΔOAC.
By the SSS congruence condition, triangle ABC congruent triangle XYZ. So, angle A = angle X.
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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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