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CBSE Class 9 Answered

Triangles ABC and DEF are given in such a way that AB||DE; AB = DE; show that AC||DF and AC = DF.
Asked by Topperlearning User | 16 Aug, 2017, 03:10: PM
answered-by-expert Expert Answer
AB||DE; AB = DE       
So, ABED is a parallelogram.
Therefore, AD||BE and AD = BE  ...................................................(i)
BC||EF and BC = EF.
So,  BEFC is a parallelogram  
Therefore, CF||BE and CF = BE   ...................................................(ii)
From (i) and (ii) AD||CF and AD = CF
So,  ACFD is a parallelogram.
Hence,   AC||DF and AC = DF
Answered by | 16 Aug, 2017, 05:10: PM

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