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?

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

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