Show that every section of the prism made by a plane parallel to its lateral is edge is a parallelogram
A hexagonal prism consists of two parallel hexagonal bases connected by six rectangular lateral faces. The edges of the hexagonal bases are parallel to each other, and the lateral edges connecting the bases are also parallel. This geometric configuration ensures that the vertical height of the prism remains consistent, creating a uniform shape. The parallel lines in this context refer to the corresponding edges of the hexagons and the lateral edges that maintain the prism's structure.
A parallelogram is a 4 sided quadrilateral
A parallelogram is an quadrilateral (a figure with four edges and four vertices) with two sets of parallel sides. A trapezoid, also known as a trapezium, is a shape with four sides with a pair of parallel sides.
Planes are not necessarily drawn as parallelograms. The Cartesian plane is drawn as a rectangle and, contrary to what the previous answerer [ignorantly] claimed, it does have a ninety degree angle where the axes meet. The representation of a plane in 3-d space is often depicted as a parallelogram in much the same way that the drawing of a cube has parallelograms for its lateral faces. A parallelogram is a compromise between lines of perspective (which should meet at the centre of perspective) and the wish to maintain the parallel nature of these edges.
4 parallel edges
There are 10 parallel lateral edges. And ten parallel edges between the two bases. There could be more - within each decagon, but that depends on the decagons, and details of these are not given.
A trapezium or parallelogram are two examples.
A parallelogram is a 4 sided quadrilateral
Two pairs
A parallelogram is an quadrilateral (a figure with four edges and four vertices) with two sets of parallel sides. A trapezoid, also known as a trapezium, is a shape with four sides with a pair of parallel sides.
Planes are not necessarily drawn as parallelograms. The Cartesian plane is drawn as a rectangle and, contrary to what the previous answerer [ignorantly] claimed, it does have a ninety degree angle where the axes meet. The representation of a plane in 3-d space is often depicted as a parallelogram in much the same way that the drawing of a cube has parallelograms for its lateral faces. A parallelogram is a compromise between lines of perspective (which should meet at the centre of perspective) and the wish to maintain the parallel nature of these edges.
4 parallel edges
It has two parallel edges
its has parallel faces and edges
rectangular prisms have 12 edges and 4 lateral edges
Not all edges are parallel to each other, only the opposite edges are parallel to each other
The lateral area of a cube with edges of 17 inches is: 1,730 square inches.