Difference between Rectangle And Parallelogram, Important Facts

What Are Quadrilaterals?

• Rectangle
• Parallelogram

What is a Rectangle?

Important Properties of a Rectangle

• Four Right Angles: All of the angles in a rectangle are right angles, which means they each measure 90 degrees.
• Equal and Parallel Opposite Sides: The opposite sides of a rectangle are equal in length and parallel to each other.
• Consecutive Angles in a Rectangle are Supplementary: Because consecutive angles in a rectangle are supplementary, the sum of any two consecutive angles is 180 degrees.
• Diagonals are Equal in Length: A rectangle's diagonals are equal in length and intersect at right angles (90 degrees).
• The lengths of a rectangle's two diagonals are equal, which is known as opposite diagonal equality.
• The perimeter (P) of a rectangle can be calculated using the formula, where l is the length and w is the width.

• The area (A) of a rectangle is calculated using the formula, where l is the length and w is the width.

What Are Parallelogram?

Important Properties of a Parallelogram

• Opposite Sides of a parallelogram are Equal: A parallelogram's opposite sides are of equal length.
• Parallel Sides: The opposite sides of a parallelogram are parallel, which means they never meet.
• Equal Opposite Angles: A parallelogram has equal opposite angles.
• Consecutive Angles are Supplementary: Consecutive angles in a parallelogram are supplementary, which means that the sum of any two consecutive angles is 180 degrees.
• Diagonals Bisect Each Other: A parallelogram's diagonals bisect each other, dividing each diagonal into two equal segments.
• The Lengths of the Parallelogram's Opposite Diagonals are Equal: The lengths of the parallelogram's two diagonals are equal.

Difference between Rectangle and Parallelogram

Why Are All Parallelograms Not Rectangles?

• In a rectangle, all the angles are equal and measure 90 degrees, but in a parallelogram, the opposite angles are only equal to each other.
• In a rectangle, the diagonals are equal in length, whereas in a parallelogram, diagonals are not equal in length.

Important Facts about Rectangles and Parallelograms

• The word rectangle comes from the medieval Latin rectangulum, which is a combination of rectus 'straight' and angulus ‘an angle’.
• The word “parallelogram” comes from the Greek word “parallelogrammon,” which is broken down as parallēlos ‘alongside another’ + grammē ‘line’.
• A rectangle is a type of parallelogram in which each pair of adjacent sides is perpendicular to the other.
• A parallelogram is a type of trapezium (also known as a trapezoid in North America) in which both pairs of opposite sides are parallel and equal in length.
• A rectangle is cyclic, which means that all of its corners can be found on a single circle.
• Parallelograms consist of rectangles, rhombuses, and squares.