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Maths > Quadrilaterals

Quadrilaterals

Would you be surprised if I told you that you see various quadrilaterals in your life every day? In fact, it wouldn’t be wrong to say that we can’t imagine the world without quadrilaterals! Any four-sided figure you see is a quadrilateral. Let us learn more about the properties of these quadrilaterals and also about the quadrilateral theorems.

FAQs on Quadrilateral Theorems:

Question 1: How can we figure out if a quadrilateral has congruent angles?

Answer: In case the quadrilateral is a parallelogram, then the opposite sides of the quadrilateral are congruent. In case a quadrilateral is a parallelogram, then its opposite angles are also congruent. In the same manner, the diagonals of the quadrilateral bisect each other and the consecutive angles are supplementary too in this case.

Question 2: Is quadrilateral a parallelogram?

Answer: A quadrilateral refers to a ‘4’ sided flat shape. Whereas, a parallelogram is a quadrilateral having 2 pairs of the opposite and parallel sides. To prove a quadrilateral is a parallelogram, we have to prove that both the pairs of the opposite sides are parallel. Moreover, some other ways are also there to prove this.

Question 3: Which quadrilateral comprises all the congruent angles?

Answer: The rectangle is the quadrilateral that has all the angles congruent in it.

Question 4: Define the area of a quadrilateral.

Answer: Area of a quadrilateral = ‘(Side 1 × Side 2) × sin (angle)’ or ‘A = (s1 × s2) × sin (θ)’ Here, ‘θ’ is the angle between sides 1 and 2. For instance: We have a kite with 2 sides, each 6 feet and 2 sides each of 4 feet. The angle between these two is about ‘120’ degrees.

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