Question

Prove that congruent triangles have congruent corresponding medians.

Answer 1

Answer:

Proved

Step-by-step 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.