The corresponding sides and angles of a congruent triangle are congruent.
(c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect
From the question, triangles BEA and CED are congruent.
This means that, the following statements are true
- [tex]\mathbf{BE \cong ED}[/tex].
- [tex]\mathbf{CE \cong EA}[/tex].
- [tex]\mathbf{\angle 1 \cong \angle 2}[/tex].
The above statements represent options (a), (b) and (d).
This means that:
[tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect
This is so because, BE and CE are not corresponding sides.
Hence, (c) [tex]\mathbf{\angle BE \cong CE}[/tex] is incorrect
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