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.