Given that in isosceles triangle ABE, base BE and

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Option A:

2. Isos. triangle ABE, base BE (Given)
3. AB is congruent to BE (Def of Isosc triangle)
4. BE is congruent to AC (Sym property of congruence)
5. Triangle BDE is congruent to triangle BCE (SAS Steps 3,1,4)
6. BC is congruent to DE (CPCTC)

Option B:

2. Isos. triangle ABE, base BE (Given)
3. AB is congruent AE (Def of Isosc Triangle)
4. BE is congruent to BE (Reflex. Prop of congruence)
5. Triangle BDE is congruent to Triangle BCE (SAS Steps 3, 1, 4)
6. BC is congruent to ED (CPCTC)

Option C:

2. Isos. triangle ABE, base BE (Given)
3. AB is congruent to BE (Def of Isosc triangle)
5. Triangle ABC is congruent to Triangle AED (ASA Steps 1, 3, 4)
6. BC is congruent to DE (CPCTC)

Option D:

2. Isos. triangle ABE, base BE (Given)
3. AB is congruent AE (Def of Isosc Triangle)
5. Triangle ABC is AED (ASA Steps 1,3,4)
6. BC is congruent to ED (CPCTC)