Geometry Shapes PDF

PRISM The axis is is the straight-line joining vertex with the center of the base. -Polyhedron of which two faces are equal A right section of a cone is a section polygons i...

PRISM The axis is is the straight-line joining vertex with the center of the base. -Polyhedron of which two faces are equal A right section of a cone is a section polygons in parallel planes, and the other perpendicular to its axis and cutting faces are parallelograms all the elements. PROPERTIES SPHERE Bases are the equal polygons -A solid bounded by a closed surface every Lateral edges are the intersections of point of which is equidistant from a fixed the lateral faces, and are equal parallel point called center. Altitude is the perpendicular distance between the planes of its bases PROPERTIES Right section is a section Every plane section of a sphere is a perpendicular to the lateral edges circle. Right prism who is lateral edges are If the plane holds a diameter of the perpendicular to its bases. Are sphere, the section is a great circle; rectangles. otherwise, the section is a small CYLINDER circle. All great circles of a sphere are equal. -Is a solid bounded by a closed cylindrical Every great circle bisects the sphere. surface and two parallel. If two circles cut-from a sphere by PROPERTIES planes unequally distant from the center, the nearer is the greater. Lateral surface is the bounding cylindrical surface of a cylinder, and PYRAMID the two bounding planes are called -A polyhedron of which one face called the bases. base, is a polygon of any numbers of sides The bases are equal and the other faces are triangles which have a The altitude is the perpendicular common vertex. distance between the bases Every section is parallel to the base PROPERTIES: and has an area equal to that to the The triangular faces are called lateral base. faces. Cone The altitude of a pyramid is the perpendicular distance between the PROPERTIES: apex and the base. The altitude of a cone is the A regular right pyramid is one perpendicular distance from the whose base is a regular polygon vertex to the plane base.  whose axis is perpendicular with the base. The lateral edges of a regular pyramid are equal. The lateral faces of a regular pyramid are congruent isosceles triangles. The altitudes of the lateral faces of a regular pyramid are equal. The slant height of a regular pyramid is the altitude of the lateral face.