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in Construction of Quadrilaterals by (48.4k points)
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Construct the kite EASY if AY = 8 cm, EY = 4 cm and SY = 6 cm (see figure). Which properties of the kite did you use in the process?

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In the process of construction of the kite, we use the property that a kite has two pairs of equal adjacent sides and unequal sides. We draw a line PQ of any reasonable length. We take any point on it. At L, construction RU ⊥ PQ is shown.

Along LR and LU, cut off LA = LY = 4 cm with A as centre, we draw an arc of radius 4 cm. With Y as centre, we draw another arc of radius 4 cm intersecting the previous arc at E. We join EA and EY. With A as centre and radius 6 cm, we draw an arc on the other side of RS. With Y as centre, we draw another arc of radius 6 cm intersecting the previous arc at S. Join AS and YS. Thus we obtain the required kite EASY.

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