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.
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
find the area of the cross section then multiply by the other dimension (length, height, whatever you are calling it) Area of a parallelogram is base x height, area of a kite might need to be broken into triangles then added together.