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abcd is trapezium with AB parallel to CD, F is the midpoint of BC, DF and AB are produced to E, meet at E. Show that F is also the mid point of DE.

abcd is trapezium with AB parallel to CD, F is the midpoint of BC, DF and AB are produced to E, meet at E. Show that F is also the mid point of DE.
 

Grade:10

1 Answers

Vedavyas
11 Points
6 years ago
Triangle BFE and CFD is condruent by ASA Congruency theorem. Therefore DF =FE hence F is the mid point of DE.

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