New Feminism asserts that men and women are equal and different. What is the basis for this?
God created man in his image; in the divine image he created him; male and female he created them. (Genesis 1:27)
This single verse is so powerful! It reflects how all humans are equal in dignity and yet there are intentionally two types of humans: male and female. Both of them are created in the image of God. Both man and woman reflect the likeness of God. All humans do.
I thought I had a lot more to say about this, but really it's as simple as that. We're all equal, despite our differences, because we're all made in God's image.
If you'd like to read more, check out the Catechism numbers 355-373 (especially 369-372) and 2331-2336.