A square is a specific case of a rhombus and can be characterised as a special rectangle because its opposite sides are parallel to each other (having four equal sides). According to Euclidean geometry (a mathematical system credited to the Alexandrian Greek mathematician Euclid), a square is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides are equal in length). However, trapezoids, cyclic quadrilaterals, trapeziums, and other four-sided polygons abound. It is also known as a parallelogram in addition to being a quadrilateral (opposite sides are parallel to each other). SquareĪ square is a four-sided polygon known as a quadrilateral in geometry. All angles are equal, the measurement is 90 degrees, and the diagonals are likewise equal. They have certain things in common and some things they don’t. All of the forms can have a few common traits that distinguish them from one another.īoth the square and the rectangle are members of the Quadrilateral family of four-sided polygons. In geometry, we’ve learned about squares, rectangles, cubes, cones, cylinders, parallelograms, rhombuses, and many other shapes.Īll of these shapes fall into one of two categories: two-dimensional or three-dimensional. The main distinction between a square and a rectangle is that a square has all of its sides equal, whereas a rectangle has its opposite sides equal.
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