Question

In a triangle ABC, D is mid-point of BC; AD is produced up to E so that DE = AD. Prove that:

 AB = CE.

Answer 1

Given: A ΔABC in which D is the midpoint of BC.
AD is produced to E so that DE = AD
We need to prove that

The corresponding parts of the congruent triangles are congruent.

∴ AB=EC   ...[ c.p.c.t ]