Answer :

Given: AC and BD bisect each other

AC and BD are intersects at the point E

So, BE = DE and AE = CE

For the triangles : BEC and DEA

1. BE = DE (proved)

2. m∠ BEC = m∠DEA ( vetical angles are congruent )

3. AE = CE ( proved )

So, the triangles are congruent by SAS [ side - angle - side ]

[tex]\triangle\text{BEC}\cong\triangle\text{DEA}[/tex]

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