Quadrilaterals are one of the fundamental concepts of geometry in Mathematics. An essential topic, quadrilaterals make an appearance in almost every math exam. The concept of quadrilaterals refers to a polygon with four sides, optionally with four angles. By knowing the properties of quadrilaterals, students can solve complex math problems with ease.
CBSE’s 8th grade mathematics curriculum has an extensive section on quadrilaterals, which includes types of quadrilaterals and their properties, angles of quadrilaterals, diagonals of quadrilaterals, and many more. In this article, we will discuss how to make 8th CBSE maths easy with quadrilateral concepts.
Types of Quadrilaterals
Quadrilaterals are of various types. They are:
1. Square
2. Rectangle
3. Rhombus
4. Parallelogram
5. Trapezium
6. Kite
7. Irregular quadrilateral.
Each type of quadrilateral has unique properties that help in solving complex mathematical problems. Squares have four equal sides and four right angles, while rectangles have four right angles but not necessarily equal sides. Rhombus is a quadrilateral with all four sides equal, but not necessarily 90 degrees. A parallelogram is a quadrilateral with parallel opposite sides. A trapezium has only one pair of parallel sides. Kite has two pairs of adjacent, congruent sides, but opposite sides are not parallel, while the irregular quadrilateral does not have any congruent sides or angles.
Properties of Quadrilaterals
Here are some significant properties of quadrilaterals that a student must know:
1. Opposite angles are congruent in a parallelogram.
2. A square has all sides congruent.
3. Diagonals of a parallelogram bisect each other.
4. Trapezoids have only one pair of parallel sides.
5. A rhombus has diagonal angles congruent to each other.
Knowing these properties is fundamentally essential for solving mathematical problems related to quadrilaterals.
Angles of Quadrilaterals
Different types of quadrilaterals have different angles. Here are some of them:
1. Square has 90 degrees angles
2. Rectangle has 90 degrees angles
3. Rhombus does not necessarily have 90 degrees angles
4. Parallelogram has opposite angles equal
5. Trapezium does not necessarily have equal angles.
Diagonals of Quadrilaterals
Diagonals are significant in quadrilateral concepts. Here is an example of diagonals in some of the quadrilaterals:
1. Square and rectangle diagonals are equal
2. Rhombus and parallelogram diagonals bisect each other
3. Kite and irregular quadrilaterals do not have diagonal properties.
Conclusion
Quadrilaterals are one of the essential topics in 8th CBSE maths. Knowing the properties of quadrilaterals can make mathematics easy and help students solve problems efficiently. By understanding the angles and diagonals of quadrilaterals, students can score well in their exams. With this article’s help, students can prepare themselves for the exams and feel more confident in mathematics.
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