Question

∆ ABC and ∆DEF, AB = DE, BC = EF and median AQ = median DP.

Prove that ∆ABQ ≅ ∆DEP.​

Answer 1

Given : ∆ ABC and ∆DEF

AB = DE, BC = EF

median AQ = median DP

Prove : ∆ABQ ≅ ∆DEP

Proof : Given that AB = DE and AB || DE

==> One pair of opposite sides are equal and parallel to each other .

Therefore ABED is parallel