Quadrilaterals have the right to be defined as, types of polygons that have 4 sides, four vertices, and four angles along with a pair of diagonals. The Sum of interior angles of quadrilaterals is 360°. There are various kinds of quadrilaterals. As the name itself suggest the word is a mix of 2 Latin words ‘Quadri‘ suggests a variant of 4, and ‘latus‘ implies side.

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Kinds of Quadrilaterals


One of the examples of a concave quadrilateral is a Dart. It is a quadrilateral with bilateral symmetry choose a kite, however via a reflex interior angle.

Convex Quadrilaterals

Quadrilaterals which have all 4 interior angle less than 180° are called concave quadrilaterals. Tbelow are various kinds of Convex Quadrilaterals:TrapeziumKiteParallelogramRectangleRhombusSquare

Trapezium

A trapezium is a quadrilateral which has actually one pair of oppowebsite sides parallel. In a continuous trapezium, non-parallel sides are equal and its base angles are equal.Trapezium1

Kite

Kite has two pairs of equal surrounding sides and also one pair of opposite angles equal. Diagonals of kite intersect perpendicularly. The longest diagonal of the kite bisects the smaller sized one.Kite

Parallelogram

A quadrilateral whose opposite sides are equal and parallel is dubbed a Parallelogram. Oppowebsite angles of a Parallelogram are equal and also its diagonals bisect each other.

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Sample Problems on Quadrilaterals

Now let us watch some problems based on quadrilaterals :Problem 1: Perimeter of quadrilateral ABCD is 46 devices. AB = x + 7, BC = 2x + 3, CD = 3x – 8, and DA = 4x – 6. Find the length of the shortest side of the quadrilateral.Solution: