Question

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

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

Answer 1

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