The Abolitionist's movement was a movement that pushed for the abolition of slaves and the slave trade.
The movement for women's rights fought to gain the right for women to vote. Along with the right to vote, this movement also fought for the right for women to be given the right to be equal to men.
The similarities between the Abolitionist movement and the movement for women's rights is that they both fought for the rights of the disempowered groups of people i.e. slaves and women.