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| Quadrilaterals |
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| A quadrilateral is a polygon having 4 sides. ABCD is a quadrilateral and AC and BD are its diagonals. |
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| Parallelogram |
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| A parallelogram has its opposite pairs of sides parallel. Its other properties are: |
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| (i) The opposite sides are equal. |
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| (ii) The opposite angles are equal. |
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| (iii) The diagonals bisect each other. |
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| In the figure above, the perpendicular AL to DC has been drawn. AL is called the height of ABCD. |
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| Rectangle |
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| A rectangle is a parallelogram having all angles equal. |
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| Its other properties are: |
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| (i) The diagonals are equal. |
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| (ii) Each angle is a right angle. |
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| Rhombus |
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| A rhombus is a parallelogram having all sides equal. |
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| Its other properties are: |
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| (i) The diagonals bisect each other at right angles. |
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| (ii) The diagonals bisect the angles at each vertex. |
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| Square |
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| A square is a parallelogram having all its sides equal and all its angles equal. |
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| Its other properties are: |
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| (i) The diagonals bisect each other at right angles and are equal. |
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| (ii) The diagonals bisect the angles at each vertex and each half is equal to 45o. |
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| Trapezium |
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| A trapezium is a quadrilateral having one pair of opposite sides parallel. |
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| A trapezium with non-parallel sides equal is called an isosceles trapezium. |
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| Kite |
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| A kite is a quadrilateral having both pairs of adjacent sides equal. |
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| Its other properties are: |
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| (i) One diagonal bisects the other diagonal at right angles. |
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| The above properties are tabulated below: |
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| * Yes in Isosceles Trapezium |
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