Rectangles have four sides and four angles.
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a square which is a subset of rectangles
No. A quadrilateral is a any closed polygon with four sides. A rectangle is a quadrilateral with four right angles and congruent opposing sides. Therefore, all rectangles are quadrilaterals, but not all quadrilaterals are rectangles.
Yes, rectangles are a special case of parallelogram, with four right angles.
Yes. A square is both a rhombus and a rectangle. A rectangles is a figure with four right angles, and all squares do indeed have four right angles. A rhombus has four equal sides, and all squares meet this requirement.
All parallelograms are not rectangles. The angles of a parallelogram need not be right angles and so the figure need not be a rectangle.