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Quadrilateral - 2 Video Lecture | Mathematics Class 6 ICSE

FAQs on Quadrilateral - 2 Video Lecture - Mathematics Class 6 ICSE

1. What is a quadrilateral?

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

2. How do you classify different types of quadrilaterals?

Ans. Quadrilaterals can be classified based on their sides and angles. There are several types: - Trapezoid: A quadrilateral with at least one pair of parallel sides. - Rectangle: A quadrilateral with four right angles. - Square: A quadrilateral with four equal sides and four right angles. - Rhombus: A quadrilateral with all sides equal but not necessarily with right angles. - Parallelogram: A quadrilateral with opposite sides that are parallel and equal in length.

3. What is the formula to calculate the area of a quadrilateral?

Ans. The area of a quadrilateral can be calculated depending on its type. For example: - For a rectangle, the area = length × width. - For a square, the area = side × side. - For a trapezoid, the area = 1/2 × (base1 + base2) × height. For irregular quadrilaterals, one can divide it into two triangles and use the formula for the area of a triangle.

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

Ans. A convex quadrilateral has all its interior angles less than 180 degrees, and its diagonals lie within the shape. In contrast, a concave quadrilateral has at least one interior angle greater than 180 degrees, which causes one of its diagonals to lie outside the shape.

5. Can a quadrilateral have equal sides but different angles?

Ans. Yes, a quadrilateral can have equal sides but different angles. This type of shape is known as a rhombus. In a rhombus, all sides are equal in length, but the angles can vary, as long as the opposite angles remain equal.

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Oct 02, 2025 Last updated

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