Question

Given: AC BD and AC and BD bisect each other.
Prove: BE EC

Answer 1

1)
`\overline{AC} \cong \overline{BD}` and
`\overline{AC}` and
`\overline{BD}` bisect each other (given)

2)
`ABCD` is a parallelogram (a quadrilateral with diagonals that bisect each other is a parallelogram)

3)
`ABCD` is a rhombus (a parallelgoram with congruent diagonals is a rhombus)

4)
`\overline{BE} \cong \overline{EC}` (halves of congruent segments are congruent)