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There are 4 (four) syllables in the word categories.
A rectangle is a shape that has four sides with two parallel lines.
No. It could be a rectangle, a rhombus, a parallelogram, a trapezoid, or just a quadrilateral that doesn't fit any of these categories ... no two sides parallel and no two sides equal.
A shape with four sides is called a quadrilateral.
There is no such shape. The only convex shape that has four faces is a tetrahedron, and that has four vertices, not 5.