16 terms

Geometry flash cards

Every prism has two congruent faces, its bases, which lie in parallel plans. The line segments that connect the corresponding vertices of these faces are parallel to each other.
A solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
Lateral Faces
The faces that join the bases of a solid are called Lateral Faces.
Lateral Edges
The edges in which the lateral faces intersect one another
Right Prism
If the lateral edges of a prism are perpendicular to the planes of its bases, it is a right prism
Oblique Prism
If the lateral edges of a prism are oblique to the planes of its bases, the prism is an oblique prism
In geometry the net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.
Lateral Area
The Lateral area of a prism is the sum of the areas of its lateral faces
Total Area
The total area of a prism is the sum of its lateral area and the areas of its bases.
Cross Section
A cross section of a geometric solid is the intersection of a plane and the solid
An altitude of a prism is a line segment that connects the planes of its bases and that is perpendicular to both of them.
The volume of an object is the amount of space that it occupies
Postulate 13
Consider two geometric solids and a plane. If every plane parallel to this plane that intersects one of the solids also intersects the other so that the resulting cross sections have equal areas, then the two solids have equal volumes.
Postulate 14
The Volume of any prism is the product of the area of its base and its altitude: V=Bh
Corollary 1 to Postulate 14
The volume of a rectangular solid is the product of its length, width and height: V=lwh
Corollary 2 to Postulate 15
The volume of a cube is the cube of its edge: V=E^3