Quadrilaterals and Rectangles

Quadrilaterals and Rectangles: this Effortless Math guide explains the topic in plain language, shows how it works through solved examples, and gives you free practice to try immediately, so the idea sticks instead of staying abstract.

• (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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