DollgerOversized Square Sunglasses for Women Big Large Wide Fashion Shades for Men UV Protection Unisex

Are these sunglasses polarized ?

I'm wondering if these would stay on my narrow nose bridge or keep sliding down. Anyone know?

if I want the black with the purple lense, which ones do I order, the black gradient?

Are these anti-reflective (ar coating) (note, not same as anti-glare)? as in offer uv ray protection by making sure the uv rays bounce off?