ABCD is a rhombus. Explain why ΔABC≅ΔCDA.
In a rhombus ABCD, all four sides are equal in length. Additionally, opposite sides are parallel to each other.
Since AB = AD and BC = CD, by the Side-Side-Side (SSS) congruence criterion, we can conclude that triangles ABC and CDA have three pairs of congruent sides.
Furthermore, AC is a common side shared by both triangles.
Therefore, by the SSS congruence criterion, we can conclude that ΔABC is congruent to ΔCDA.