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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 the given figure). Show that(i) Quadrilateral ABED is a parallelogram(ii) Quadrilateral BEFC is a parallelogram(iii) AD || CF and AD = CF(iv) Quadrilateral ACFD is a parallelogram(v) AC = DF(vi) ΔABC ≅ ΔDEF. |
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Answer» 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 the given figure). Show that
(i) Quadrilateral ABED is a parallelogram (ii) Quadrilateral BEFC is a parallelogram (iii) AD || CF and AD = CF (iv) Quadrilateral ACFD is a parallelogram (v) AC = DF (vi) ΔABC ≅ ΔDEF. |
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