作者：Alesha Bates 9 年以前
217
Geometric Figures
Geometric figures are essential concepts in mathematics, characterized by specific properties and definitions. Shapes such as pyramids, tetrahedrons, pentahedrons, and hexahedrons are defined by their faces and dimensions.
開啟
Geometric Figures Property IF two lines in the plane are cut by a transversal and some pair of their corresponding angles has the same measure, then the lines are parallel. If two parallel lines are cut by a transversal, then their corresponding angles have the same measure. Definitions Hexadedron Is a Three dimensional shape with six faces Pentahedron Is a three dimensional shape with five faces Tetrahedron Is a three dimensional shape with four faces Prism consists of two congruent polygons in parallel planes together with the lateral faces joining at the bases. pyramid a closed surface given by a polygon and point not in plane of a polygon called its apex Solid a space figure that is the union of all points on a simple closed surface and all points in its interior. Sphere the set of points in space at a constant distance from a single point called center Skew Lines Two lines that do not belong to a common plane Half space The two regions that are separated by plane Sums of the angle measure in convex polygon Sum of the measures of the exterior angles of convex polygon is 360* the sum is (n-2) 180* Theorem Total turn The total turn made when traversing any closed curve is an integer multiple of 360* Jordan curve A simple closed plane curve partitions the plane into three disjoints subsets: the curve itself, the interior of the curve , and the exterior angles. Euler's Formula The numbers V of vertices , F of faces and E of edges of a polyhedron are related by formula V+F= E+2 Concepts Plane Curved Surface Spheres, hemispheres, cones, prisms. Nets Models of polyhedrons that depict the pattern of figures. Simple Closed Surface A surface without holes Boundary edges that encloses a region called interior
