Question

based on the diagram, what additional information must be stated in order to prove △abd ≅ △dbc by the asa congruence theorem? (1 point)
o $overline{ac}congoverline{dc}$
o $overline{ab}congoverline{bd}$
o $angle acongangle d$
o $overline{bc}congoverline{bc}$

Explanation:

The ASA (Angle - Side - Angle) Congruence Theorem requires two pairs of corresponding angles and the included side to be congruent. In \(\triangle ABD\) and \(\triangle DBC\), we already have a common side \(BD\). We need another pair of corresponding angles and the included side. If \(\angle A\cong\angle D\), along with the common side \(BD\) and the already - shown angles at \(B\) (vertical angles are equal), we can prove \(\triangle ABD\cong\triangle DBC\) by ASA.

Answer:

\(\angle A\cong\angle D\)