A rectangle is a quadrilateral in which has four sides and all four angles are right angles \((90^\circ)\).
Properties of a Rectangle
A rectangle has the following important properties:
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All four angles are right angles (each angle is \(90^\circ\)).
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Opposite sides are equal in length.
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Opposite sides are parallel to each other.
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The diagonals of a rectangle are equal.
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The diagonals bisect each other, that is, they intersect at their midpoints.
A square is a quadrilateral in which all four sides are equal and all four angles are right angles.
The properties of square are
- All the sides of a square are equal.
- The opposite sides of a square are parallel to each other.
- All angles of a square are \(90^\circ\).
- The diagonals of a square are of equal.
- The diagonals bisect each other at \(90^\circ\).
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.
A parallelogram has its following properties
- The opposite sides are equal and parallel.
- The opposite angles are equal.
- Adjacent pairs of angles add up to \(180^\circ\).
- The diagonals of a parallelogram need not to be equal.
- The diagonals bisect each other.
- Each diagonal divides the parallelogram into two congruent triangles.
Rhombus
A quadrilateral in which all the sides have the same length is a rhombus.
Let us list the properties of rhombus
- All the sides of a rhombus are equal.
- The opposite sides are parallel to each other.
- The opposite angles are equal.
- The adjacent angles add up to \(180^\circ\).
- The diagonals of the rhombus bisect each other.
- The diagonals of the rhombus bisect its angles.
- The diagonals intersect each other at \(90^\circ\).
A quadrilateral that the adjacent sides are of the same length is a kite.
A kite that can be labelled \(IJKL\) .
In a kite, the properties observed are as follows.
- Two pair of adjacent sides are equal such that \(JK=KL\) and \(LI = IJ\).
- One pair of opposite angles \(\angle JKL\) and \(\angle JIL\) are equal and bisects.
- The diagonals intersect at right angles.
- One diagonal \(IK\) bisects the other diagonal \(JL\).
A trapezium is a quadrilateral with at least one pair of parallel opposite sides.
Properties of a trapezium are as follows.
- A trapezium has one pair of opposite sides parallel.
- Adjacent sides are supplementary.