Problem 2. Solve using a two-column proof. D Given: ZEAB = ZEBA, ZEDC = ZECD Prove: ΔΑDE = ΔBC PB

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

**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.
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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