Answer:
Proved
Explanation:
Figure two triangles which are congruent to each other has been attached
Proof :
1)BC= CD ( given )
2) AC= CE ( Given)
3) ∠ACB= ∠ECD ( vertically opposite to each other)
therefore, ΔABC≅ΔDCE ( By SSA postulate)
Now, CF and CG be medians on the sides Ab and DE of the Δ's ABC and DCE respectively
⇒CF= CG because of CPCTC that is corresponding parts of congruent triangles are congruent.
Therefore, congruent triangles have congruent corresponding medians.