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Understanding Quadrilaterals for class 8th - Mathematics Video Lecture - Class 9
FAQs on Understanding Quadrilaterals for class 8th - Mathematics Video Lecture - Class 9
| 1. What is a quadrilateral in mathematics? |  |
Ans. In mathematics, a quadrilateral is a polygon with four sides and four angles. It is a closed figure formed by connecting four non-collinear points. Examples of quadrilaterals include rectangles, squares, parallelograms, trapezoids, and rhombuses.
| 2. How can we classify quadrilaterals based on their sides? | |
Ans. Quadrilaterals can be classified into different types based on the lengths of their sides. A quadrilateral can be called a parallelogram if both pairs of opposite sides are parallel. If all four sides of a quadrilateral are equal in length, it is called a rhombus. A rectangle is a quadrilateral with four right angles, and a square is a quadrilateral with both equal sides and right angles.
| 3. What are the properties of a rectangle? | |
Ans. A rectangle is a quadrilateral with four right angles. It has the following properties:
- Opposite sides of a rectangle are parallel and equal in length.
- Opposite angles of a rectangle are equal.
- The diagonals of a rectangle bisect each other and are equal in length.
- The sum of the squares of the lengths of the diagonals is equal to the sum of the squares of its sides.
| 4. How can we determine if a quadrilateral is a parallelogram? | |
Ans. To determine if a quadrilateral is a parallelogram, we need to check if both pairs of opposite sides are parallel. Additionally, the following properties can help identify a parallelogram:
- Opposite sides of a parallelogram are equal in length.
- Opposite angles of a parallelogram are equal.
- The diagonals of a parallelogram bisect each other.
| 5. How are trapezoids different from other quadrilaterals? | |
Ans. Trapezoids are quadrilaterals with only one pair of parallel sides. Unlike parallelograms, trapezoids do not have both pairs of opposite sides parallel. The non-parallel sides of a trapezoid can have different lengths. Trapezoids can also have one pair of equal angles or one pair of equal sides.
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Dec 21, 2024 Last updated |
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