Quadrilaterals and Rectangles

• \(4\) identical sides
• \(4\) right angles
• \(2\) pairs of parallel sides
• \(2\) identical diagonals
• Diagonals that are perpendicular to one another
• Diagonal which bisect one another.

Rectangles

• \(2\) pairs of parallel sides
• \(4\) right angles
• Opposite sides of identical lengths
• \(2\) identical diagonals
• Diagonals that bisect one another

Parallelograms

• \(2\) pairs of parallel sides
• Opposing sides of identical lengths
• Opposing angles which are identical
• \(2\) diagonals that bisect one another.

Trapeziums

• The sides parallel to one another are known as bases.
  In the figure above, GH and EF are bases.
• The sides that are not parallel to one another are known as legs.
  In the figure above, FH and are legs.

Quadrilaterals and Rectangles – Example 1:

In this shape, both pairs of opposite sides are parallel. So, this quadrilateral is a parallelogram.

Quadrilaterals and Rectangles – Example 2:

What is the perimeter of a rectangle whose length is \(14\) cm and whose width is \(9\) cm?

Solution:

The formula for the perimeter of a rectangle = \(2\) (Length + Width). So, the perimeter of a rectangle \(= 2(14+9)=46\)

Exercises for Quadrilaterals and Rectangles

1. Write the appropriate name of each quadrilateral.

2. What is the perimeter of a rectangle whose length is \(20\) cm and whose width is \(15\) cm?

1. \(\color{blue}{Trapezoid}\)
2. \(\color{blue}{70}\)