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what are the various types of quadrilaterals?
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rhombus
square
reactangle
trapezium
parallelogram
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square
rectangle
trapazium
rombous
parallograme
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Quadrilaterals
A quadrilateral is a 2dimensional closed shape with four straight sides. E.g. The shape ABCD shown here is a quadrilateral.
A line segment drawn from one vertex of a quadrilateral to the opposite vertex is called a diagonal of the quadrilateral. AC is a diagonal of quadrilateral ABCD, as is BD. Types of Quadrilaterals
There are seven types of quadrilaterals that can be divided into two groups: parallelograms and other quadrilaterals. Parallelograms
Quadrilaterals are called parallelograms if both pairs of opposite sides are equal and parallel to each other. Different parallelograms and their properties are described below. Parallelogram
 Opposite sides of a parallelogram are parallel and equal in length.
 Opposite angles are equal in size.
Note:
Rectangle
 Opposite sides of a rectangle are parallel and equal in length.
 All angles are equal to 90°.
Square
 Opposite sides of a square are parallel and all sides are equal in length.
 All angles are equal to 90°.
Rhombus
 All sides of a rhombus are equal in length
 Opposite sides are parallel.
 Opposite angles of a rhombus are equal.
 The diagonals of a rhombus bisect each other at right angles.
Note:Rectangles, squares and rhombuses (or diamonds) are parallelograms. Other Quadrilaterals
Other quadrilaterals include trapeziums, kites and irregular quadrilaterals. Trapezium
 A trapezium has one pair of opposite sides parallel.
 A regular trapezium has nonparallel sides equal and its base angles are equal, as shown in the diagram.
Kite
 Two pairs of adjacent sides of a kite are equal in length
 One pair of opposite angles (the ones that are between the sides of unequal length) are equal in size.
 One diagonal bisects the other.
 Diagonals intersect at right angles.
Irregular Quadrilateral
An irregular quadrilateral does not have any special properties.
Angle Sum of a Quadrilateral
Draw a quadrilateral ABCD. Then draw the diagonal AC to form two triangles.
Finding the Fourth Angle of a Quadrilateral
If the measurements of three angles of a quadrilateral are known, then the missing angle can be calculated. Example 10
Find the value of the pronumeral x in the accompanying diagram. Give reasons for your answer.
Solution:
Example 11
Find the value of the pronumerals in the following diagram. Give reasons for your answer.
Solution:
Example 12
Find the value of the pronumerals in the following diagram. Give reasons for your answer.
Solution:
