The geometry quiz covers topics of circles, plane geometry, triangles, and polygons. For circles, it lists radii of 2π, 4π, 8π, 9π, and 18π. For plane geometry, it lists quadrants I through IV and an option that the information is insufficient. For triangles, it lists side lengths or ratios and an insufficient information option. Similarly for polygons, it lists ratios but no shapes are defined.