A cross is not a parallelogram. A parallelogram is a specific type of quadrilateral where opposite sides are parallel and equal in length, and opposite angles are equal. A cross typically refers to a shape formed by two intersecting lines, which does not meet the criteria of a parallelogram. Therefore, while both shapes involve lines, their geometric properties differ significantly.
Yes, a parallelogram can be a cross section of a triangular prism. When you slice through a triangular prism parallel to the base (the triangular face), the resulting cross section will be a parallelogram. This occurs because the opposite sides of the cut will be equal and parallel, characteristic of a parallelogram.
No.
They might, but they do not have to. A very long and narrow parallelogram would have diagonals that cross at a very sharp angle.no they donot
Yes * * * * * Usually not.
It depends on the pyramid. If it is a square based pyramid, a horizontal plane will give a square cross section, a plane inclined by a rotation parallel to one of the base axes will give a rectangular cross section whereas a plane inclined by rotation along both basal axes will result in a parallelogram cross section. Not sure how you get a parallelogram from a pentagonal or hexagonal (etc) pyramid.
Yes, a parallelogram can be a cross section of a triangular prism. When you slice through a triangular prism parallel to the base (the triangular face), the resulting cross section will be a parallelogram. This occurs because the opposite sides of the cut will be equal and parallel, characteristic of a parallelogram.
No.
They might, but they do not have to. A very long and narrow parallelogram would have diagonals that cross at a very sharp angle.no they donot
Yes * * * * * Usually not.
It depends on the pyramid. If it is a square based pyramid, a horizontal plane will give a square cross section, a plane inclined by a rotation parallel to one of the base axes will give a rectangular cross section whereas a plane inclined by rotation along both basal axes will result in a parallelogram cross section. Not sure how you get a parallelogram from a pentagonal or hexagonal (etc) pyramid.
The statement is true; a parallelogram cannot be a cross section of a triangular prism. The cross sections of a triangular prism are typically triangular or trapezoidal, depending on the orientation of the cut. While a parallelogram can be formed by certain cuts through a prism, in the case of a triangular prism, the specific shape of the bases (triangles) and the lateral faces (rectangles) restrict the cross sections to triangles and trapezoids.
Volume of a parallelogram = cross-section area times length
Parallelogram
A parallelogram perhaps?
The opposite sides of a parallelogram are parallel.The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect one other.The area, A, of a parallelogram is A = BH, where B is the base of the parallelogram and H is its height.The area of a parallelogram is twice the area of a triangle created by one of its diagonals.The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.Each diagonal bisects the parallelogram into two congruent triangles.It is possible to create a tessellation of a plane with any parallelogram.The parallelogram is a special case of the trapezoid.The rectangle is a special case of the parallelogram.The rhombus is a special case of the parallelogram.
A parallelogram
yes a parallelogram is a parallelogram