In this chapter we will about about the angles of quadrilateral, also the method to find the missing angle if measure of other angles are given. What are angles in a quadrilateral ? Here we are talking about the interior angles of quadrilateral. It’s the interior angle formed between the two adjacent sides. In Quadrilateral, …
In this post we will first discuss the concept of exterior angles of quadrilateral and then try to find the sum of all the exterior angles. Exterior angles of quadrilateral Exterior angles are formed between one side of quadrilateral and extended side of the other side. Consider the above quadrilateral ABCD.Here ∠1 is the exterior …
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 …
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 …
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 …