help please! ## Geometry Proof - DeltaMath### Problem Statement**Given:** \( BC \cong AD \) and \( BC \parallel AD \).**Prove:** \( \triangle BEC \cong \triangle DEA \).### Proof Structure| Step | Statement | Reason ||------|-----------------|--------|| 1 | \( BC \cong AD \) and \( BC \parallel AD \) | Given |### Diagram ExplanationThe diagram shows a quadrilateral where:- \( A, B, C, D \) are the vertices of the quadrilateral.- \( E \) is the point of intersection of the diagonals \( AC \) and \( BD \).- \( BC \) and \( AD \) are marked as congruent, denoted by a single tick mark on each.- \( BC \parallel AD \) is indicated by the parallel lines symbols (\(\parallel\)).#### Analysis of the DiagramBased on the given information, here are some properties we can infer:- Lines \( BC \) and \( AD \) are both equal in length and parallel.- By the properties of parallelograms or similar quadrilaterals, we can explore the congruence and relationships between the triangles \( \triangle BEC \) and \( \triangle DEA \).### Steps for Completing the Proof1. **Given Information**: - \( BC \cong AD \) (congruent segments). - \( BC \parallel AD \) (parallel lines).2. **By Corresponding Angles**: This can lead to the triangles having equal angles since parallel lines cut by a transversal create equal corresponding angles.3. **Side-Angle-Side Postulate (SAS)**: Use the congruent sides and equal corresponding angles from the given information to establish \( \triangle BEC \cong \triangle DEA \).Completing these logical steps and filling in the types of statements and justifications will validate the proof that \( \triangle BEC \cong \triangle DEA \).

Name: help please! ## Geometry Proof - DeltaMath### Problem Statement**Given
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: help please! ## Geometry Proof - DeltaMath### Problem Statement**Given:** \( BC \cong AD \) and \( BC \parallel AD \).**Prove:** \( \triangle BEC \cong \triangle DEA \).### Proof Structure| Step | Statement | Reason ||------|-----------------|-