In geometry, the flat surface of a solid figure is referred to as a "face." A solid figure is a three-dimensional geometric shape that contains "faces," "vertices" and "edges."
Continue ReadingThree-dimensional objects can either have flat faces or curved surfaces. A "prism" is a solid plane figure with four lateral faces on the sides and two parallel faces called "bases" at the top and bottom. A "cube" contains six identical square faces, while a "dodecahedron" has 12 pentagonal faces that are all equal in size and shape. An "octahedron" has eight triangular faces, while an "icosahedron" contains 20 triangular faces. A "cylinder," meanwhile, has two circular faces.
Learn more about GeometryParallel lines are important in mathematics because they are at the base of several conjectures involving angles in geometry. Drawing a line, called a transversal, through a pair of parallel lines forms three different types of angles that have known mathematical properties.
Full Answer >Common formulas in the study of geometry include calculating the perimeter and area of shapes. For example, the perimeter or outside of a rectangle is the length plus the width of the rectangle times two.
Full Answer >Hyperbolic geometry and spherical, or elliptical, geometry are two types of non-Euclidean geometry. Spherical geometry is somewhat similar to Euclidean, or plane, geometry except that it is used to determine distances and areas on the surface of a sphere instead of the flat surfaces of Euclidean geometry. Hyperbolic geometry differs from spherical geometry by its application to surfaces with a constant negative curvature, such as the curved space first introduced in Einstein's 1915 general theory of relativity.
Full Answer >Honors geometry involves a more comprehensive study of regular geometry as it is more detailed and thorough. In contrast to the regular study of geometry, honors geometry is generally more rigorous and requires students to complete more work.
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