Quadrilateral

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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Diagonal of parallelogram divide it into two congruent triangle

In this chapter we will prove important theorem of parallelogram. According to the theorem ” the diagonal of parallelogram divides the figure into two congruent triangle. “ Given above is parallelogram in which opposite sides are equal and parallel with AC as diagonal. To Prove:Prove that triangle ACD is congruent to triangle ACB. Proof:AB & …

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Quadrilateral: Definition, Types and Properties

In this post will study the definition and properties of quadrilateral. The concept is explained in very simple manner so that no room of doubt is left among the students. In case if the concept is left unclear, feel free to ask in the comment section. Properties of Quadrilateral what are Quadrilaterals? Polygon having four …

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