Construction of Polygons

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Always draw a rough free-hand sketch before starting the actual construction. This helps you visualize the polygon and plan your construction steps.

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To construct a quadrilateral means to find (locate) its four vertices. You need at least 5 independent measurements such as: 4 sides + 1 angle, or 3 sides + 2 consecutive angles, or 4 sides + 1 diagon

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Steps: 1) Draw BC = 4.0 cm, 2) Through B, draw BP such that ∠B = 45°, 3) From BP, cut BA = 3.5 cm, 4) With A and C as centres and radii 4 cm and 5 cm respectively, draw arcs cutting each other at D, 5

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Example: AB = 4.0 cm, BC = 4.5 cm, CD = 4.7 cm, ∠B = 60°, ∠A = 120°. Steps: 1) Draw BC = 4.5 cm, 2) Construct angle MBC = 60° and cut BA = 4.0 cm from BM, 3) Draw AP such that ∠A = 120°, 4) With C as

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Opposite sides of a parallelogram are equal in length. So if AB and BC are given as consecutive sides, then AB = DC and BC = AD. This property allows us to construct triangles ABC and ADC to form the

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Steps: 1) Taking AB = 3 cm, BC = 4 cm and ∠B = 60°, construct triangle ABC, 2) Now construct triangle ADC using the fact that opposite sides are equal (AD = BC = 4 cm, DC = AB = 3 cm). ABCD is the req

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Diagonals of a parallelogram bisect each other. This means they cut each other into two equal parts at their intersection point O. So if diagonals AC and BD are given, then OA = OC = AC/2 and OB = OD

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If BD/2 gives a non-measurable length (like 2.25 cm when BD = 4.5 cm), start with the diagonal whose half can be accurately measured with your scale. For example, if BD = 4.5 cm gives BD/2 = 2.25 cm (