Question

complete the two - column proof
given: (overline{ea}congoverline{cd}), (overline{ab}congoverline{db}), (b) is the midpoint of (overline{ce})
prove: (\triangle abecong\triangle dbc)

1. (overline{ea}congoverline{cd}), (overline{ab}congoverline{db}) 1) given
2. (overline{cb}congsquare) 2) definition of a midpoint

(overline{eb})
(overline{ad})
(overline{ea})
(overline{ca})

Explanation:

Step1: Recall the definition of a midpoint

If \( B \) is the midpoint of \( \overline{CE} \), then by the definition of a midpoint, \( \overline{CB}\cong\overline{EB} \).

Answer:

\(\overline{EB}\)