Question 1:
It is given that BC = EC and AC = DC. According to the definition of vertical angles, ∠BCA = ∠DCE. Thus, the two triangles are congruent by SAS. According to CPCTC, BA must be congruent to ED.
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Question 2:
A and E are base angles.
B and D are legs.
F is the base.
C is the vertex angle.
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