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 …
Prove that diagonals of parallelogram bisect each other Read More »
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 …
Quadrilateral with equal opposite angle is a parallelogram Read More »
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 ( …
Quadrilateral with equal opposite sides is a parallelogram Read More »
In this chapter we will prove that ” in parallelogram, opposite sides are equal “. This is very important property so make sure you remember it for your exam. Given:ABCD is a parallelogram in which opposite sides are parallel to each other.AB || CD and AD || CB To Prove:Prove that opposite sides are equal …
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 & …
Diagonal of parallelogram divide it into two congruent triangle Read More »
In this chapter we will understand and prove the midsegment theorem of trapezium. In the proof, we have extensively used the concept of midpoint theorem of triangle. So make sure to understand that theorem before moving on with this chapter. Note that this theorem is also called midpoint theorem of trapezium. What is midpoint theorem …
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 …