The difference between triangular pyramid and regular triangular pyramid, triangular prism and regul

The bottom surface is the vertex of a regular triangle, and the projection on the bottom surface is the triangular pyramid in the center of the bottom surface, which is called a regular triangular pyramid.

A straight triangular prism with a regular triangle on the bottom is called a regular triangular prism.

Regular triangular pyramid: The base is an equilateral triangle, the rest of the faces are an isosceles triangle with a common vertex, and the three sides are congruent. The geometry enclosed by these faces is called a regular triangular pyramid.

A triangular pyramid is a simple polyhedron. Refers to a closed polyhedron in space that intersects in pairs and is not collinear in space. It only needs to be connected by the bottom surface of a triangle and then by a point outside the bottom surface to connect the three vertices of the base triangle, that is, the geometry surrounded by four triangles is called a triangular pyramid.

A triangular prism is a type of cylinder with a triangular base. A triangular prism is a pentahedral body with a set of parallel faces, i.e., two faces parallel to each other, while the normals of the other three surfaces are on the same plane (not necessarily parallel faces).

A regular triangular prism is a prism with two regular triangles with the upper and lower bottom surfaces congruent, rectangular on the sides, parallel and equal prisms on the sides, and the center line of the upper and lower bottom surfaces is perpendicular to the bottom surface, that is, the prism with the side perpendicular to the bottom surface.

Difference: A regular triangular prism means that the triangle on the top and bottom is a regular triangle. A triangular prism can form a triangle as long as it can be formed.

Moreover, the three sides of a regular triangular prism are equal rectangles, while the three sides of a triangular prism can be different as long as they are parallelograms. Triangular prisms contain regular triangular prisms.

First, the nature is different.

1. A triangular prism is a kind of cylinder with a triangular bottom surface.

2. Triangular pyramid.

A type of cone, geometric, consisting of four triangles. There is one vertex when the bottom face is fixed, and four vertices when the bottom face is not fixed.

Second, the composition is different.

1. Three-sided open selling column: the two bottom surfaces are parallel to each other, and the sides are quadrilateral.

And the common edges of each of the two adjacent quadrilaterals are parallel to each other.

2. Triangular pyramid: composed of four triangles, also known as tetrahedron.

Its four faces (one called the bottom and the rest called the sides) are triangular.

First, the nature is different.

1. Regular triangular prism: the upper and lower bottom surfaces are congruent two regular triangles, the sides are rectangular, the side edges are parallel and equal prisms, and the center line of the upper and lower bottom surfaces is perpendicular to the bottom surface, that is, the prism perpendicular to the side and the bottom surface.

2. Straight triangular prism: a prism with equal height on all sides, a triangle on the bottom surface, parallel and congruent on the upper and lower surfaces, and a prism with all side edges equal and parallel to each other and perpendicular to the two bottom surfaces.

3. Triangular prism: A triangular prism is a kind of cylinder with a triangular bottom surface. A regular triangular prism is a type of semi-regular polyhedra and uniform polyhedron.

Second, the side is different.

1. Regular triangular prism: the side is rectangular.

2. Straight triangular prism: the side is square.

3. Triangular prism: There are both rectangles and squares on the sides.

Third, the scope is different.

1. Regular triangular prism: It only means that the upper and lower bottom surfaces are congruent two regular triangles, the sides are rectangular, and the side edges are parallel and equal.

2. Straight triangular prism: It only indicates that the height of each side is equal, the bottom surface is triangular, and the upper and lower surfaces are parallel and congruent triangular prisms.

3. Triangular prism: including straight triangular prism and regular triangular prism.

According to the basic properties and classification of triangular prisms, it can be known that the difference between regular triangular prism and straight triangular prism is that the bottom surface is different, the side is different, and the range is different, and the specific differences are as follows:

1. The bottom surface of the prism is different.

The base of a regular triangular prism is a congruent regular triangle, and the base of a straight triangular prism is an arbitrary triangle, not necessarily a regular triangle.

2. The sides of the prism are different.

The height of the sides of the straight triangular prism is equal, the upper and lower surfaces are parallel and congruent, and the sides and bottom are perpendicular to each other. Each side is not necessarily the same. Whereas, the sides of a regular triangular prism are rectangular and each side is the same.

3. The scope of inclusion is different.

A regular triangular prism is a special case of a straight triangular prism, i.e., a straight triangular prism with a regular triangle above and below. A regular triangular prism is a straight triangular prism with a positive triangle on the base.

First, the nature is different.

1. A triangular prism is a kind of cylinder with a triangular bottom surface.

2. A type of triangular pyramid, geometry, composed of four triangles. There is one vertex when the bottom face is fixed, and four vertices when the bottom face is not fixed.

Second, the composition is different.

1. Triangular prism: the two bottom surfaces are parallel to each other, the sides are quadrilateral, and the common sides of each adjacent two quadrilaterals are parallel to each other.

2. Triangular pyramid: It is composed of four triangles, also known as tetrahedron, and its four faces (one is called the bottom surface, and the rest are called the side) are all triangles.

A triangular prism is a cylindrical body with two bottom surfaces, and the two bottom surfaces are in the same direction; The lines of the upper and lower vertices are all parallel; The sides are all parallelograms.

The triangular pyramid is a cone, with only one bottom surface and the other side is a vertex, and the line connecting the vertex and the three points on the bottom surface forms the side of the cone, and the sides are all triangular.

1. The triangular prism is a cylindrical body, with two bottom surfaces, and the two bottom surfaces are in the same equidirection; The lines of the upper and lower vertices are all parallel; The sides are all parallelograms.

2. The triangular pyramid is a cone, with only one bottom surface, and the other side is a midpoint of the parietal limb, and the connection between the vertex Zhiyutan and the three points on the bottom surface constitutes the side of the vertebral body, and the sides are triangular.