Answer
1. We are told that BC is congruent to CD.
2. BE and AD are altitudes, so by the definition of altitudes, AD is perpendicular to CE and BE is perpendicular to AC.
3. Since all right angles are equal, angle EBC is congruent to angle ADC.
4. Angle C is congruent to itself by the identity theorem.
5. Thus, triangle CDA is congruent to triangle EBC.
6. This means that corresponding sides BE and AD are congruent.
