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Given: Line Segment AC ≅ Line Segment DC, ∠B≅∠D

Prove Line Segment AB ≅ Line Segment DE with a two-column proof

Given: Line Segment AC ≅ Line Segment DC, ∠B≅∠D Prove Line Segment AB ≅ Line Segment-example-1
User BrDaHa
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Answer:

See Below.

Explanation:

Statements Reasons:


1)\text{ } AC\cong DC Given


2)\text{ } \angle B\cong \angle D Given


3)\angle BCA \cong \angle ECD Vertical Angles are Congruent


4)\text{ } \Delta ACB\cong \Delta DCE AAS Congruence


5)\text{ } AB\cong DE CPCTC

User Cristiano Ghersi
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