Quadrilaterals deserve to be identified as, types of polygons that have 4 sides, 4 vertices, and also four angles together with a pair that diagonals. The sum of internal angles of quadrilaterals is 360°. Over there are various kinds that quadrilaterals. As the name itself imply the indigenous is a combination of 2 Latin indigenous ‘Quadri‘ method a different of four, and ‘latus‘ means side.

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Kinds the Quadrilaterals


One the the instances of a concave square is a Dart. That is a quadrilateral with bilateral symmetry favor a kite, however with a reflex interior angle.

Convex Quadrilaterals

Quadrilaterals which have all four interior angle less than 180° are called concave quadrilaterals. There space various types of Convex Quadrilaterals:TrapeziumKiteParallelogramRectangleRhombusSquare

Trapezium

A trapezium is a quadrilateral which has one pair that opposite sides parallel. In a consistent trapezium, non-parallel sides room equal and also its base angles space equal.Trapezium1

Kite

Kite has two bag of equal nearby sides and also one pair the opposite angle equal. Diagonals the kite intersect perpendicularly. The longest diagonal line of the dragon bisects the smaller one.Kite

Parallelogram

A quadrilateral whose the contrary sides space equal and also parallel is called a Parallelogram. Opposite angle of a Parallelogram room equal and also its diagonals bisect each other.

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Sample problems on Quadrilaterals

Now let united state see some problems based upon quadrilaterals :Problem 1: Perimeter of square ABCD is 46 units. Ab = x + 7, BC = 2x + 3, CD = 3x – 8, and also DA = 4x – 6. Discover the length of the shortest next of the quadrilateral.Solution: