Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Please help me solve this proof using a two-column proof.

Transcribed Image Text:**Problem 2. Solve using a two-column proof.**
**Diagram Explanation:**
The diagram illustrates a geometric figure consisting of two triangles, \( \triangle ADE \) and \( \triangle BCE \), linked by the point \( E \). The points \( A \), \( B \), \( C \), and \( D \) form a quadrilateral with \( E \) as an intersection point of the diagonals \( AD \) and \( BC \).
**Given:**
- \( \angle EAB \cong \angle EBA \)
- \( \angle EDC \cong \angle ECD \)
**Prove:**
- \( \triangle ADE \cong \triangle BCE \)
**Instructions for the Proof:**
To prove that triangles \( \triangle ADE \) and \( \triangle BCE \) are congruent, use a two-column proof format where you list statements and reasons side by side.
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