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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
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 cone below are not 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.
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 solid has cross sections parallel to the base?
Every solid. All you need is the intersection with a plane parallel to the base.
How is a cylinder and triangular prism alike?
because the cylinder has a circular base and a triangular prism has a triangular base so they are both basic shapes.
