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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
The shapes of the horizontal cross-sections of the cylinder below are not all congruent.?
In a standard cylinder, all horizontal cross-sections are congruent circles regardless of the height at which the cut is made. If the statement asserts that the cross-sections are not all congruent, it suggests that the figure in question may not be a true cylinder. Instead, it could be a shape that varies in diameter along its height, such as a tapered or irregular prism.
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.
Which Solid congruent horizontal and vertical cross section?
A solid that has congruent horizontal and vertical cross sections is a cylinder. In a cylinder, both the horizontal cross sections (circles) and vertical cross sections (rectangles) maintain consistent dimensions throughout the solid. This property ensures that the shapes formed by slicing the cylinder in any horizontal or vertical plane are always congruent to each other. Other examples include cubes and spheres, but the cylinder specifically illustrates this characteristic well.
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.
