Description

Strong Geometry. There are five Platonic solids in which the countenances are consistent general polygonsAny 3D shape, which by definition has 6 square facesA tetrahedron with 4 equilateral triangles as facesAn octahedron with 8 equilateral triangles as facesAn icosahedron with 20 equilateral triangles as facesA dodecahedron with 12 standard pentagons as facesWe will concentrate on two particular sorts of polyhedraA pr

Transcripts

Strong Geometry Space is the arrangement of all focuses The geometry of items in space is called strong geometry Objects in space are three dimensional When drawing three dimensional figures, concealed lines are drawn utilizing dashes A polyhedron is a strong comprised of a few polygonal surfaces Each surface is a face of the polyhedron An edge is the line fragment where two confronts meet Just as polygons should just have straight sides, polyhedra should just have polygonal confronts Polyhedra are named in light of the quantity of countenances For instance, a heptahedron has seven faces A tetrahedron is a polyhedron with four faces A block is a hexahedron with square faces

Solid Geometry There are five Platonic solids in which the appearances are harmonious normal polygons Any 3D square, which by definition has 6 square faces A tetrahedron with 4 equilateral triangles as appearances An octahedron with 8 equilateral triangles as appearances An icosahedron with 20 equilateral triangles as countenances A dodecahedron with 12 standard pentagons as confronts We will concentrate on two particular sorts of polyhedra A crystal , which has two compatible parallel bases and rectangular countenances The crystal at right is a pentagonal crystal A pyramid , which has a solitary polygonal base and triangular countenances that meet at a typical vertex The pyramid at right is a hexagonal pyramid

Solid Geometry A circle is the arrangement of all focuses in space equidistant from an inside point A side of the equator is a circle sliced down the middle by a plane going through its inside Other regular non-polyhedral solids A chamber resembles a crystal with round bases A cone resembles a pyramid with a roundabout base A strong of transformation is made by turning a two dimensional shape along a hub Rotating a rectangle along a side makes a barrel What shape would be made by pivoting a correct triangle along one of its legs?

Solid Geometry A cross-area is a two dimensional shape made by cutting a strong with a plane The cross-segment of a circle is a circle A cross-segment of a block could be a square, a rectangle, a triangle, or even a hexagon A cross-segment of a cone could be a circle, an oval, a triangle, a parabola, or a hyperbola The properties of these conic areas are very helpful, and are considered in later math courses