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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 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°
Is parasagittal section is a section that is perpendicular to a sagittal section?
The sagittal plane is a vertical plane through the longitudinal axis dividing the body into left and right portions. If the animal is bisected straight down the midline, the section is called a "midsagittal" section. If the animal is sectioned away from and lateral to the midline, the section is referred to as "parasagittal".
Why is the volume of pyramid is only one third of the volume of the prism?
This is easiest shown through integration. If you don't know how to do integration, divide the pyramid into many thin layers, and assume that each is a rectangular block. Try to do this experiment with the help of a spreadsheet like Excel.
What are perpendicular bisectors?
A line that is perpendicular to the segment of a plane and passes through the midpoint.
Given a cone with a radius of 2 feet and a height of 9 feet what shape is formed by a perpendicular cross section through the cone's center?
The cross section will be a triangle with base 2 feet and a vertical height of 9 feet.
