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In ΔABC and ΔDEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). Show that (i) quadrilateral ABED is a parallelogram (ii) quadrilateral BEFC is a parallelogram Q.11 (1-2)

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I want to know the best answer of the question from Quadrilaterals chapter of class 9th ncert math. The question from exercise 8.1of math. Give me the easy way for solving this question of  In ΔABC and ΔDEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). Show that (i) quadrilateral ABED is a parallelogram (ii) quadrilateral BEFC is a parallelogram

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  1. (i) AB = DE and AB || DE (Given)

    Two opposite sides of a quadrilateral are equal and parallel to each other.

    Thus, quadrilateral ABED is a parallelogram

    (ii) Again BC = EF and BC || EF.

    Thus, quadrilateral BEFC is a parallelogram.

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