A polyhedron is a three-dimensional object, not two-dimensional.
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Yes, a polyhedron is a solid bounded by polygonal regions, which are the faces of the polyhedron. These faces are formed by the intersection of planes, and the edges of the polyhedron are the line segments where these faces meet. The vertices are the points where the edges converge. Thus, a polyhedron is defined by its flat faces, straight edges, and vertices.
No, a polyhedron is a three-dimensional solid bounded by polygonal faces. Each face is a flat polygon, and the edges of these polygons meet at vertices. The term "two-dimensional solid" is a mischaracterization, as polyhedra occupy three-dimensional space.
A polygon is a flat, two-dimensional shape with straight sides, defined by its vertices and edges. In contrast, a polyhedron is a solid bounded by polygonal regions, formed by the intersection of planes in three-dimensional space. These polygonal faces can vary in number and shape, creating various types of polyhedra, such as cubes and tetrahedra. Thus, while a polygon refers to a 2D figure, a polyhedron refers to a 3D solid.
Yes, two lines in intersecting planes are never skew. Skew lines are defined as lines that do not intersect and are not parallel, typically found in different planes. Since the two lines are in intersecting planes, they can either intersect or be parallel, but they cannot be skew.
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Yes, a polyhedron is a solid bounded by polygonal regions, which are the faces of the polyhedron. These faces are formed by the intersection of planes, and the edges of the polyhedron are the line segments where these faces meet. The vertices are the points where the edges converge. Thus, a polyhedron is defined by its flat faces, straight edges, and vertices.
No, a polyhedron is a three-dimensional solid bounded by polygonal faces. Each face is a flat polygon, and the edges of these polygons meet at vertices. The term "two-dimensional solid" is a mischaracterization, as polyhedra occupy three-dimensional space.
False Apex :)
A polygon is a flat, two-dimensional shape with straight sides, defined by its vertices and edges. In contrast, a polyhedron is a solid bounded by polygonal regions, formed by the intersection of planes in three-dimensional space. These polygonal faces can vary in number and shape, creating various types of polyhedra, such as cubes and tetrahedra. Thus, while a polygon refers to a 2D figure, a polyhedron refers to a 3D solid.
Two lines in two intersecting planes can be parallel, intersecting, or skew.
Intersecting planes!