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

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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.

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