That depends on the solid that you are slicing.
If the solid is a cylinder, you can make a circle by slicing horizontally,
or an ellipse by slicing diagonally.
If the solid has a square "base", then you can make make squares,
rectangles, and even hexagons.
If the solid is a cone or better yet a double cone, you can construct
the conic sections (circle, ellipse, parabola, hyperbola).
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Answer #2:
The tidiest answer to the question is: A "section" is.
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A solid figure.
No it is not a plane but it is a solidfigure
No- a triangle is a plane figure, not a solid.
A a solid figure on a flat surface is a plane figure (I do believe)
a face.