G1S2 - Units 4.3 / 4.4

oblique cylinder

Cylinder in which the bases are parallel, yet line segments connecting corresponding points are not perpendicular to the planes of the bases

right cylinder

Cylinder in which the line segments joining corresponding points in the two bases are perpendicular to the planes of the bases

What are the 5 Platonic Solids?

Tetrahedron (4) (∆Pyramid- Fire), Hexahedron (6) (Cube-Earth), Octahedron (8) (∆Air), Dodecahedron (12) (pentagons,Cosmos-Quintessence), Icosahedron (20) (∆Water)

etomology of Platonic Solids

The 5 solids are called the Platonic solids because they figure prominently in the work of the philosopher Plato. All the faces on each of the Platonic solids are regular polygons.

which shapes have congruent parallel bases?

cylinder, cube, prism

The polygons that can be the faces of a Platonic solid are what?

equilateral triangle (tetrahedron, octahedron, and icosahedron), squares (hexahedron), regular pentagons (dodecahedron)

right cone

the segment joining the vertex and the center of the base is perpendicular to the base, and the slant height is the distance between the vertex and a point on the base edge

cone

A cone is a solid made from a disc, a point not in the same plane as the disc, and all the points between them. Think of an ice cream cone or a traffic pylon and you've got the image of a cone. (it is not a polyhedron as it has discs/circles and not polygons for a base.)

oblique cone

A cone with a vertex that is not aligned directly above the center of the base.

cylinder

A cylinder is a three-dimensional object that looks like a tube with flat ends. Formally, a cylinder is made of two parallel and congruent discs not in the same plane, and all of the points between them. (it is not a polyhedron as it has discs/circles and not polygons for a base.)