Question

if d,e and f respectively the midpoints of the sides ab,ac and bc respectively 0of triangle abc. prove that decf is a parallelogram

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Answer 1

Answer:

Given: D and E are mid points of AB and BC respectively. DF∥BC

Since, DF∥BC D is mid point of AB.

By converse of mid point theorem, F is mid point of AC.

Now, E and F are mid points of BC and AC respectively.Thus, by mid point theorem,

EF∥AB or EF∥DB

Since, opposite sides are parallel to each other. Hence, DBEF is a parallelogram