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What else can I help you with?
Brad cuts a triangular prism with a plane parallel to the base of the prism. What will the shape of the cross section be?
Triangular
What is a cross section of a cube?
It depends on the angle of the plane of the cross section. If it is parallel to the cube's face (or equivalently, two adjacent edges) the cross section will be a square congruent to the face. If the plane is parallel to just one edge (and so angled to a face), the cross section will be a rectangle which will have a constant width. Its length will increase, remain at a maximum level and then decrease. If neither, it will be a hexagon-triangle-hexagon-triangle-hexagon (triangles when passing through a vertex).
What are Lines that do not cross?
Parallel
How is a cylinder like a prism?
Both, a cylinder and a prism have two faces (bases) at either end. These are parallel and identical. A plane that is parallel to these bases will cut the cylinder (or prism) in identical cross sections.
The vertical cross-sectional shapes of this prism are all congruent triangles?
false
What solid figure is a set of your parallel cross sections are circles that are similar but not congruent?
A sphere is.
What solid figure is a set of your parallel cross sections are squares that are similar but not congruent?
A square pyramid is.
What is a set of parallel cross-sections are congruent rectangles?
That's a statement that can apply to any rectangular prism.
Why does a prism or a cylinder have a set of parallel cross sections that are parallelograms?
The bases of a prism or cylinder are congruent and parallel and they meet the lateral face (cynder) or faces (prism) at right angles. A cross section parallel to the longitudinal axis will, therefore, be a rectangle.
Which pair of figures could have congruent cross-sections?
cone and prism
What describes all cross sections of a square pyramid where the intersecting plane is parallel to the base?
All cross sections of a square pyramid that are parallel to the base are squares
The shapes of the horizontal cross-sections of the cone below are not all congruent.?
True
Are The shapes of the horizontal cross-sections of the cone below are all congruent?
True
What is the parallel cross section of a cone?
The answer depends on the angle at which the axis of the cone intersects the cross-sections.
The shapes of the horizontal cross-sections of the cone below are all congruent except for the vertex.?
The horizontal cross-sections of a cone are circular in shape, and these circles are congruent to each other at all heights except for the vertex, which is a single point. As you move away from the vertex along the height of the cone, the diameter of the circular cross-sections increases uniformly. This consistent shape results in a series of congruent circles, illustrating the cone's geometric properties.
What solid has cross sections parallel to the base?
Every solid. All you need is the intersection with a plane parallel to the base.
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
