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Quadrilateral shape

In this post we will try to classify quadrilaterals into different shapes and will also mention its associated properties. What are Quadrilateral shape ? Quadrilateral is a 2 dimensional figures with four straight sides. Let us understand the word “Quadrilateral”. Quad means “Four” Lateral means “Sides” Hence, it’s a shape containing four sides. Consider the …

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Properties of Quadrilateral

In this post we will discuss properties and formulas of different quadrilateral in detail. Following quadrilaterals are discussed below; (a) Square(b) Rectangle(c) Parallelogram(d) Rhombus(e) Trapezium Along with the properties, try to remember all the formulas as they would help you solve related questions in examination. Square The square has following properties; (a) All sides are …

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Prove that each angle of rectangle measures 90 degree

We know that a rectangle is basically a parallelogram with one angle measures 90 degree. Given:Since all rectangle are form of parallelogram, their opposite sides are parallel.AB || CD and AD || CB. Also one of the angle measures 90 degree.∠A = 90 degree To Prove:Each angle of rectangle measures 90 degree.∠A = ∠B = …

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Prove that if diagonal of quadrilateral bisect each other then it is parallelogram

Consider the below quadrilateral ABCD in which diagonals bisect each other. Given:ABCD is a quadrilateral.AC & BD are diagonals bisecting each other.Hence, AO = OC and BO = OD. To Prove:Prove that the given quadrilateral is a parallelogram. Proof:Consider triangle AOB and COD; AO = OC (given)∠AOB = ∠COD ( vertically opposite angle)BO = OD …

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Prove that diagonals of parallelogram bisect each other

Consider the below parallelogram ABCD with diagonals AC and BD. Given:We know that opposite sides of parallelogram are equal.AB = CDAD = BC Also in parallelogram, opposite sides are parallel to each other.AB || CDAD || BC To prove:Diagonals bisect each other.AO = OCDO = OB Proof:Consider triangle AOD and BOC. AD = BC (given)∠DAO …

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Quadrilateral with equal opposite angle is a parallelogram

In this chapter we will prove that any quadrilateral with equal pair of opposite angles is actually a parallelogram. Consider the quadrilateral ABCD in which opposite angles are equal.∠A = ∠C∠B = ∠D To prove:Prove that ABCD is a parallelogram. Solution:We know that sum of all angles of quadrilateral measure 360 degree. ∠A + ∠B …

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Quadrilateral with equal opposite sides is a parallelogram

In this chapter we will prove that “any quadrilateral with equal opposite sides is actually a parallelogram. Given:Consider quadrilateral ABCD in which opposite sides are equal.AB = CD and AD = BC To Prove:Prove that the quadrilateral is parallelogram.i.e. AB || CD and AD || CB Proof:Consider triangle ABC and CDA; AB = CD ( …

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