Constructions and Tilings — Formula Sheet
CBSE · Class 7 · Mathematics
7 formulas from Constructions and Tilings (CBSE Class 7 Mathematics) on one page, grouped by topic. Part of the CBSE Class 7 Mathematics syllabus.
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Formulas and Key Relations
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
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.
Equilateral triangle = regular polygon with 3 sides.
Square = regular polygon with 4 sides.
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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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