Final answer:
The Progressives supported the woman suffrage movement because they believed in social justice and equality. They saw suffrage as a way to promote democracy and empower women to have a say in political decisions.
Step-by-step explanation:
The Progressives supported the woman suffrage movement for several reasons. First, the Progressives focused on social justice and equality, and they believed that women should have the right to vote just like men. They saw suffrage as a way to promote democracy and empower women to have a say in political decisions. Additionally, many Progressive women were active in other social reform movements, such as labor rights and child welfare, and they saw suffrage as a way to advance their causes and have a greater impact.