What were the similarities between the house York and Lancaster's?

The Houses of York and Lancaster were both royal dynasties in England during the late Middle Ages, and they were branches of the Plantagenet family. Both houses sought control of the English throne, leading to the Wars of the Roses, characterized by a struggle for power and influence. Each house was represented by a distinct emblem—York with a white rose and Lancaster with a red rose—symbolizing their rivalry. Additionally, both houses had claims to the throne rooted in their ancestral lineage, which fueled their ambitions and conflicts.