Construction of Polygons
ICSE · Class 9 · Mathematics
All formulas from Construction of Polygons in ICSE Class 9 Mathematics. Key equations, constants, and identities for board exam preparation.
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Quadrilateral Construction
Constructing a quadrilateral means locating its four vertices
A rough free-hand sketch should always be drawn before starting actual construction
A quadrilateral with four sides and one diagonal given is constructed by building triangle ABC then triangle ADC
A quadrilateral with three sides and two diagonals given is constructed by building triangle ABC then triangle ABD, then joining C and D
Parallelogram Construction
AB = DC and BC = AD
OB = 1/2 BD = 1/2 × 5.0 cm = 2.5 cm
OC = 1/2 AC = 1/2 × 5.6 cm = 2.8 cm
OB = OD = 1/2 BD = 1/2 × 4.8 cm = 2.4 cm.
OA = OC = 1/2 AC = 1/2 × 5.4 cm = 2.7 cm
Rectangle Construction
Each angle of a rectangle is 90° and opposite sides are equal
Construction begins with triangle ABC then triangle ADC
A right-angled triangle ABC and another right-angled triangle ADC are used
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