Question

Prove triangle ADE is isosceles

Answer 1

AB is congruent to AC (given).

BD is congruent to CE (given).

Angle ABC is congruent to Angle ACB (base angles of isosceles ∆ABC are congruent).

∆ABD is congruent to ∆ACE (SAS).

AD is congruent to AE (CPCTC).

∆ADE is isosceles (definition).