Quadrilaterals are polygons with four sides.
Types of quadrilaterals
The table summarises the types and properties of quadrilaterals:
Name |
Properties |
Diagram |
Trapezium
|
- One pair of parallel sides
|
|
Isosceles trapezium
|
- One pair of parallel sides
- Other two sides equal in length
- Diagonals equal in length
- Base angles are equal
|
|
Cyclic Quadrilateral
|
- All four vertices lie on the circumference of a circle
|
|
Kite
|
- Two pairs of adjacent sides equal
- Diagonals intersect at right angles
|
|
Arrowhead
|
- Two pairs of adjacent sides equal
- One interior angle is reflex (bigger than 180°)
|
|
Parallelogram
|
- Opposite sides are parallel and equal
- Opposite angles are equal
- Diagonals bisect each other
|
|
Rhombus
|
- Opposite sides are parallel
- All sides are equal in length
- Opposite angles are equal
- Diagonals bisect each other at right angles
|
|
Rectangle
|
- Diagonals bisect each other
- All angles are right angles
- Opposite sides parallel and equal
|
|
Square |
- Opposite sides are parallel
- All sides are equal in length
- All angles are right angles
- Diagonals bisect at right angles
|
|