0
If you slice a rectangular pyramid perpendicular to the base but NOT through the apex what will be the shape of the cross section?
It will be one of:
- a triangle if where the cross section cuts the base is through two adjacent sides;
- an irregular quadrilateral if where the cross section cuts the base is through two opposite sides but not parallel to a side of the base; or
- a trapezium if where the is the cross section cuts the base is parallel to a side of the base.
What else can I help you with?
How many axes of rotational symmetry does a rectangular pyramid have?
It depends upon the pyramid: if it is a right rectangular pyramid it will have one axis of rotational symmetry which runs from the apex to the centre of the base and a rotational symmetry of 2. If it is not a right rectangular pyramid then there is no axis of rotation which will permit the pyramid to fit on itself before a complete rotation of 360°
What are perpendicular bisectors?
A line that is perpendicular to the segment of a plane and passes through the midpoint.
What are the difference between perpendicular lines and a perpendicular bisector?
A perpendicular bisector goes through the median of the line while a perpendicular line can be anywhere on the line as long as it is at a 90 degree angle.
What is the perpendicular postulate?
The perpendicular postulate states that if there is a line, as well as a point that is not on the line, then there is exactly one line through the point that is perpendicular to the given line.
What is a characteristic of a perpendicular bisector?
Given a straight line joining the points A and B, the perpendicular bisector is a straight line that passes through the mid-point of AB and is perpendicular to AB.
Which two-dimensional figure could be a cross section of a rectangular pyramid that has been intersected by a plane perpendicular to its base and not through its vertex?
trapezoid
How many planes of symmetry does a rectangular pyramid have?
Two.
How did the rectangular pyramid get its name?
The rectangular pyramid got its name through its base, a rectangle.
What is a cross section of a cone?
Circle: If the knife is perpendicular to the axis of the cone.Ellipse: If the knife is between (perpendicular to the axis of the cone) and (parallel to the side of the cone).Parabola: If the knife is between (parallel to the side of the cone) and (parallel to the axis of the cone).Hyperbola: If the knife is parallel to the axis of the cone.Triangle: If the knife is perpendicular to the base of the cone.Point: If the knife is parallel to the base the cone and through the apex
What shape is the cross section of a square pyramid when sliced perpendicular to its base through a vertex?
When a square pyramid is sliced perpendicular to its base through a vertex, the cross section will be a triangle. This triangle will have one vertex at the apex of the pyramid and the other two vertices on the base, forming a triangular shape that includes one of the pyramid's edges and a segment of the base. The resulting triangle will be isosceles if the slice is made symmetrically.
What is a vertical cross section of a square pyramid?
A vertical cross section of a square pyramid is obtained by slicing through the pyramid along a plane that passes through its apex and is perpendicular to the base. This cross section typically takes the shape of a triangle, with the base of the triangle corresponding to one side of the pyramid's square base and the apex representing the peak of the pyramid. The height of the triangle reflects the height of the pyramid, while the base length can vary depending on where the cut is made. This representation helps visualize the pyramid's structure in a two-dimensional format.
What is the vertical section of a square pyramid not through the vertex called?
A trapezium.
What describes all cross sections of a square pyramid where the intersecting plane is perpendicular cut to base?
A trapezium, except that when it goes through the apex, it becomes a triangle. If the pyramid is a right pyramid, then the cross sections will be isosceles.
What area is formed by a plane cutting through a solid perpendicular to its axis?
A cross section is formed.
How many axes of rotational symmetry does a rectangular pyramid have?
It depends upon the pyramid: if it is a right rectangular pyramid it will have one axis of rotational symmetry which runs from the apex to the centre of the base and a rotational symmetry of 2. If it is not a right rectangular pyramid then there is no axis of rotation which will permit the pyramid to fit on itself before a complete rotation of 360°
What cross section results when you cut a cylinder perpendicular to its base?
When you cut a cylinder perpendicular to its base, the resulting cross section is a circle. This is because the cut slices through the circular base, maintaining the same radius throughout the height of the cylinder. The shape of the cross section remains consistent regardless of the height at which the cut is made, as long as it is perpendicular to the base.
What is the vertical cross section of square pyramid?
The vertical cross section of a square pyramid is a triangle. When the pyramid is sliced vertically through its apex and down to the base, the resulting shape is a triangular profile that includes the apex at the top and the edges of the base at the bottom. The height of the triangle corresponds to the height of the pyramid, while the base of the triangle spans the width of the base of the pyramid.
