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Quadrilateral - 1 Video Lecture | Mathematics Class 6 ICSE

FAQs on Quadrilateral - 1 Video Lecture - Mathematics Class 6 ICSE

1. What is a quadrilateral?

Ans. A quadrilateral is a polygon that has four sides, four vertices, and four angles. The sum of the interior angles of a quadrilateral is always 360 degrees. Common examples of quadrilaterals include squares, rectangles, trapezoids, and rhombuses.

2. What are the different types of quadrilaterals?

Ans. There are several types of quadrilaterals, including squares, rectangles, rhombuses, parallelograms, trapezoids, and kites. Each type has its own unique properties. For example, a square has all sides equal and all angles at 90 degrees, while a trapezoid has at least one pair of parallel sides.

3. How do you calculate the area of a quadrilateral?

Ans. The area of a quadrilateral can be calculated using different formulas depending on its type. For a rectangle, the area is found by multiplying the length by the width (Area = length × width). For a trapezoid, the area is calculated using the formula (Area = 1/2 × (base1 + base2) × height), where base1 and base2 are the lengths of the two parallel sides.

4. What is the difference between a convex and a concave quadrilateral?

Ans. A convex quadrilateral has all interior angles less than 180 degrees, and no sides are bent inward. In contrast, a concave quadrilateral has at least one interior angle greater than 180 degrees, which causes one of its sides to be pushed inward. This shape can create a "cave-like" appearance.

5. How can you classify quadrilaterals based on their sides and angles?

Ans. Quadrilaterals can be classified based on their sides and angles into several categories. For example, if all sides are equal, it is a rhombus; if opposite sides are equal and all angles are 90 degrees, it is a rectangle; if all sides and angles are equal, it is a square. Additionally, quadrilaterals can be classified as cyclic, if all vertices lie on a circle, or as tangential, if there is an inscribed circle that touches all sides.

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Oct 23, 2025 Last updated

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