1. Which plane figure is defined as any polygon with exactly 4 angles, all of whom are equal? Square Rectangle Quadrilateral Rhombus

2. Which Solid can be defined as the regular polyhedron (a solid with all faces identical regular polygons) with the greatest number of faces? Dodecahedron Icosahedron Tetrahedron Octahedron

3. What shape is created by taking a rectangular sheet of paper, giving it a "twist" and gluing the two ends of the strips together? Klein Strip Lobachevsky Strip Riemann Strip Mobius Strip

4. What solid can be thought of as taking a cylinder, giving it a "twist" in some fourth dimension, and gluing one end of the cylinder to the other end? Mobius Bottle Lobachevsky Bottle Riemann Bottle Klein Bottle

5. Of all plane shapes with the same perimeter, which one has the greatest area? Answer: (One Word)

6. What shape can be created by taking a rectangular piece of paper, rolling one pair of opposite sides onto each other (to form a cylinder), then rolling the two opposite circular ends of the cylinder onto each other? Another Cylinder Projective Plane Torus Sphere

7. If two sides of a triangle are given, what type of triangle containing those two sides will have the greatest area? Right Triangle Acute Triangle Obtuse Triangle No Such Maximal Triangle Exists

8. What Plane Shape can be defined as a quadrilateral whose diagonals bisect each other and are perpendicular? Parallelogram Rhombus Rectangle Kite

9. Which of these pairs of shapes CANNOT be used to fill the entire plane (assuming all sides are the same length and some of each shape are used)? Hexagons and More Hexagons Triangles and More Triangles Squares and Octagons Pentagons and Hexagons

10. Finally, which one of these four solids is not a real shape (i.e. which one did I just make up?) Rhombitruncated Icosidodecahedron Pentagonal Hexecontahedron Snub Cube Icosapentahedron