Question

complete the proof
given: \\( \overline { b c } \cong \overline { d a } , \angle c b d \cong \angle a d b \\)
prove: \\( \triangle b c d \cong \triangle d a b \\)
complete the proof below

Explanation:

Step1: Identify the common side

In triangles \( \triangle BCD\) and \( \triangle DAB\), \(BD\) is a common side. So, the statement is \( \overline{BD}\cong\overline{BD}\).

Step2: State the reason

The reason for \( \overline{BD}\cong\overline{BD}\) is the Reflexive Property of Congruence (a segment is congruent to itself).

Answer:

1. Statement: \( \overline{BD}\cong\overline{BD}\); Reason: Reflexive Property of Congruence