A rectangle is considered a special case of a parallelogram because: A parallelogram is a quadrilateral with 2 pairs of opposite, equal and parallel sides. A rectangle is a parallelogram with 4 right angles.

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal. A rhombus is defined as a parallelogram with four equal sides.

Rhombus

Types of Special Parallelograms. A rectangle is a parallelogram with four right angles. A rhombus, which is sometimes called a rhomb or diamond, as Math is Fun nicely states, is a parallelogram with four congruent sides. And a square is a parallelogram with four right angles and four congruent sides.

A square is a parallelogram with 4 right angles and 4 sides that have the same length. A square has all the rules of a rectangle and a rhombus as shown in square ABCD below.

Square. A square is a quadrilateral with all right angles and all equal sides. A square is also a parallelogram, a rectangle, and a rhombus and has all the properties of all these special quadrilaterals.

An ordinary quadrilateral with no equal sides is not a parallelogram. A kite has no parallel lines at all. A trapezium and and an isosceles trapezium have one pair of opposite sides parallel.

Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms. 4. A square is a rhombus.

Explanation: A quadrilateral is a rectangle if all four internal angles are 90∘ . The above is a rectangle, as all four angles are 90∘ , but is not a square, as the two vertical sides are shorter than the two horizontal sides.