A quadrilateral is a 2-dimensional 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 QuadrilateralsThere are seven types of quadrilaterals that can be divided into two groups: parallelograms and other quadrilaterals.
ParallelogramsQuadrilaterals 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 QuadrilateralsOther quadrilaterals include trapeziums, kites and irregular quadrilaterals. |
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