CBSE Class 9 Maths Notes Chapter 9 Quadrilaterals Pdf free download is part of Class 9 Maths Notes for Quick Revision. Here we have given NCERT Class 9 Maths Notes Chapter 9 Quadrilaterals.

## CBSE Class 9 Maths Notes Chapter 9 Quadrilaterals

1. **Quadrilateral:** A plane figure bounded by four lines segment AB, BC, CD and DA is called a quadrilateral.

The sum of the angles of a quadrilateral is 360°.

2. Various Types of Quadrilaterals

(i) **Parallelogram:** A quadrilateral in which opposite sides are parallel is called parallelogram and it is written as Parallelogram.

(ii) **Rectangle:** A parallelogram each of whose angle is 90°, is called a rectangle.

(iii) **Square:** A rectangle having all sides equal, is called a square.

(iv) **Rhombus:** A parallelogram having all sides equal is called a rhombus.

(v) **Trapezium:** A quadrilateral in which two opposite sides are parallel and two opposite sides are non-parallel is called a trapezium.

If two non-parallel sides of a trapezium are equal, then it is called an isosceles trapezium.

(vi) **Kite:** A quadrilateral in which two pairs of adjacent are equal is known as the kite.

3. Important Theorems

- The sum of all the four angles of a quadrilateral is 360°.
- A diagonal of a parallelogram divides it into two congruent triangles.
- A quadrilateral is a parallelogram if
- opposite sides are equal.
- opposite angles are equal,
- diagonals bisect each other.

- A quadrilateral is a parallelogram if
- its opposite angles are equal.
- its opposite sides are equal.
- its diagonals bisect each other.
- a pair of opposite sides is equal and parallel.

- Diagonals of a rectangle bisect each other and they are equal and vice-versa.
- Diagonals of a rhombus bisect each other at right angles and they are not equal and vice-versa.
- Diagonals of a square bisect each other at right angles and they are equal and vice-versa.
- The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it. (Mid-point theorem)
- The line drawn through the mid-point of one side of a triangle, parallel to another side, intersects the third side at its mid-point. (By converse of mid-point theorem)
- The quadrilateral formed by joining the mid-points of the sides of a quadrilateral, taken in order, is a parallelogram.
- In a quadrilateral, if diagonals bisect each other, then it forms a parallelogram.

### NCERT Notes for Class 9 Maths

- Chapter 1 Number Systems Class 9 Notes
- Chapter 2 Polynomials Class 9 Notes
- Chapter 3 Introduction to Euclid’s Geometry Class 9 Notes
- Chapter 4 Lines and Angles Class 9 Notes
- Chapter 5 Triangles Class 9 Notes
- Chapter 6 Coordinate Geometry Class 9 Notes
- Chapter 7 Heron’s Formula Class 9 Notes
- Chapter 8 Linear Equations in Two Variables Class 9 Notes
- Chapter 9 Quadrilaterals Class 9 Notes
- Chapter 10 Areas of Parallelograms and Triangles Class 9 Notes
- Chapter 11 Circles Class 9 Notes
- Chapter 12 Constructions Class 9 Notes
- Chapter 13 Surface Areas and Volumes Class 9 Notes
- Chapter 14 Statistics Class 9 Notes
- Chapter 15 Probability Class 9 Notes

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