Given:
1. Angle B is congruent to Angle D.
2. Angle BAC is congruent to Angle DCA
To prove that triangles ABC and CDA are congruent, we first note that reflexive property means that anything is equal to itself. This means that:
[tex]\bar{AC}\cong\bar{AC}[/tex]
Notice that both triangles share one side and we know that every side is congruent to itself. Hence, we can prove that triangles ABC and CDA are congruent by AAS Congruence Theorem as we have pairs of two congruent angles and non-included sides.
Therefore, the answer is:
