Question

You have to read the given and find statements you can make based on the given.

Answer 1

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 ]

$\triangle\text{BEC}\cong\triangle\text{DEA}$