Given: Line BDEC, AB is congruent to AC, BD is congruent to CE

Prove: Triangle ABD is congruent to Triangle ACE

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Line BDEC, AB is congruent to AC, BD is congruent to CE
Triangle ABC is an isosceles triangle
If two sides of a triangle are equal, the angles opposite them are equal
Given
SAS (Side-Angle-Side)
Angle B is congruent to Angle C
Triangle ABD is congruent to Triangle ACE
Definition