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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
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Continue Learning about Geometry
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 3 solids have a circle as a horizontal cross section?
cone
What is the tilted away cross section of a cone?
Depends on the way you cut the cone, but the outline is either an ellipse or a parabola.
What three dimensional figure has a cross section of a triangle and the view from below is a circle?
cone
Would the horizontal cross section of a cone be congruent to its base?
No because it would be smaller.
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