MOM

• solid - three-dimensional shape that has length, width, and height. It is also characterized by its boundaries, surfaces, vertices, and edges
• Examples of solids: spheres, cubes, pyramids, cylinders
• Faces - polygon/portions of bounding planes enclosed by edges
• Edges - line segment/intersections of the bounding planes in polyhedron
• Vertices - point of intersections of the edges
• Section - plane figure cut from the solid by passing a plane through it.
• Bases - parallel and congruent faces at the bottom and top of solid.
• Two dimensional figures - flat or plane figures that does not have depth to it.
• polyhedron - three dimensional figure that is formed by polygons that enclose a region in space.
• Polyhedrons include Cube, Prism, Pyramid.
• Non-polyhedrons are Cone, Spheres, Cylinder.
• Prism - polyhedron with two parallel, congruent bases. The other faces, also called Lateral faces, are rectangles.
• Triangular prism - bases are triangles
• octagonal prism - bases are octagons
• Pyramid - polyhedron with one base and the lateral sides (all triangular sides) meet at common vertex.
• Hexagonal pyramid - base is a hexagon.
• Square pyramid - base is a square
• Circles are NOT polygons
• Regular polyhedra - polyhedron where all the faces are congruent polygons.
• All regular polyhedra are convex
• Platonic solids - five regular polyhedra, named after Greek Philosopher Plato
• There are only 5 regular polyhedra because the sum of the measures of the angles that meet at each vertex must be less than 360 degrees.
• Regular Tetrahedon - 4-faced polyhedron and all faces are equilateral triangles.
• Cube - 6-faced polyhedra and all faces are squares
• Regular Octahedron - 8-faced polyhedron and all the faces are equilateral triangles.
• Regular Dodecahedron - A 12-faced polyhedron and all the faces are regular pentagons.
• Regular Icosahedron - 20-faced polyhedron and all the faces are equilateral triangles.
• Leonhard Euler - the Swiss Mathematician who is named after the Euler's Theorem.
• cross-section - intersection of a plane with a solid.
• net - unfolded, flat representation of the sides of a three-dimensional shape.
• cylinder - solid bounded by a closed cylindrical surface and two parallel planes.
• cone - generated from rotating a right triangle, around one leg, in a circle.