A quadrilateral in Euclidean plane geometry is a polygon with four sides (edges) and four corners (vertices). Quadrilaterals are either simple or complex. The simple quadrilaterals are concave and convex. A simple quadrilateral can be defined as a quadrilateral that is not self – intersecting and its interior angle add up to three sixty degrees of an arc.
In a concave quadrilateral, the interior angle is more than one eighty degree and two diagonals lie outside the quadrilateral. For example Dort
In a convex quadrilateral, the interior angle is less than one eighty degree and two diagonals lie inside the quadrilateral.
The shapes of elementary geometry are invariably convex. So starting from a regular quadrilateral, the square is a quadrilateral where all four sides are equal but in equivalent conditions opposite sides are equal. In an irregular quadrilateral, no sides are parallel to each other. In Trapezium at least one pair of opposite sides is parallel.
A parallelogram is a quadrilateral comprising of two pairs of parallel sides. They are of equal length in the equivalent condition. In rhombus all sides are equal but diagonals may perpendicularly bisect each other at an equivalent condition. In kite two pairs of adjacent sides are of equal length.
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Understanding Quadrilaterals : Class 6-10 | |
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