## NCERT Solutions for Class 9 Maths Chapter 8 – Quadrilaterals

The CBSE board recommend the NCERT books for its syllabus. But these textbooks are not enough especially for secondary and senior secondary classes. They require additional material for completely understanding the chapter. This NCERT Solutions for Class 9 Maths Chapter 8 is part of a complete series which has all the chapters. Above all, it answers and explains every topic of the chapter.

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**CBSE Class 9 Maths Chapter 8 – Quadrilaterals NCERT Solutions**

A Quadrilateral is a polygon that has four sides like a rectangle, rhombus, or square. Besides, the basic property of a quadrilateral is having four sides and the shapes that fulfill this criterion are called quadrilaterals.

**Sub-topics covered under NCERT Solutions for Class 9 Maths Chapter 8**

#### 8.1 Introduction

This topic explains what is quadrilaterals and how it is different from other figures. There are figures from which you have to find the quadrilaterals.

#### 8.2 Angle Sum Property of a Quadrilateral

This topic describes the various angle sum property of a quadrilateral. Like which angles from complementary angles, which form supplementary angles. And the sum of all the angles of a quadrilateral is always 360o.

#### 8.3 Types of Quadrilaterals

This topic discusses the various types of quadrilaterals. These include trapezium, rhombus, square, rectangle, parallelogram, etc.

#### 8.4 Properties of a Parallelogram

This topic describes the various properties of a parallelogram. These properties include angles, area diagonals, sides, etc.

#### 8.5 Another Condition for a Quadrilateral to be a Parallelogram

This topic describes one more important theorem for a quadrilateral to be a parallelogram.

#### 8.6 The Mid-Point Theorem

This theorem explains that if you divide a triangle from its mid-point of two sides then it will form a parallelogram.

#### 8.7 Summary

This topic sums up all the theorem and the topics discussed in the chapter

#### Theorems in NCERT Solutions for Class 9 Maths Chapter 8 Quadrilateral

**1st Theorem-** The diagonal divides the parallelogram into two congruent triangles.

**2nd Theorem-** The opposite side of a parallelogram are equal.

**3rd Theorem-** The quadrilaterals in which each pair of opposite sides are equal are called parallelogram.

**4th Theorem-** The opposite angles of a parallelogram are equal.

**5th Theorem-** If each pair of opposite angles are equal then it is a parallelogram.

**6th Theorem-** The diagonals bisect each other in a parallelogram.

**7th Theorem-** If the diagonals bisect each other in a quadrilateral, then it’s a parallelogram.

**8th Theorem-** The opposite sides of a parallelogram are parallel and equal.

**9th Theorem-** The line that joins mid-points of a triangle’s two side is parallel to the third side.

**You can download NCERT Solutions for Class 9 Maths Chapter 8 PDF by clicking on the download button below**

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