Embibe Big Book for Mathematics for Jammu and Kashmir Board Class 9

Mathematics

Areas of Parallelograms and Triangles

In this chapter, we will study the various formulas that are used to find out the area of parallelograms and triangles. It discusses some properties of triangles and parallelograms. It also covers some examples for the detailed explanation.

This topic teaches us how to find the area of plane figures. Through simple formulae, we will understand how to find the area of triangles and quadrilaterals.

Understanding Area of Plane Figures

In this topic, we will learn about the parallelograms with the same base and between the same parallels with the help of various activities. It discusses some theorems based on this concept. It also consists of some examples based on it.

Parallelograms on the Same Base and between Same Parallels

From this topic, we will learn about the triangles lying on the same base and between the same parallels with the help of various activities. It discusses some theorems based on this concept. It also includes various examples related to it.

Triangles on the Same Base and between Same Parallels

A Textbook of Mathematics For Class 9

MATHEMATICS Textbook for Class IX

A Parallelogram on the Same Base

The Congruent Figures

Area of a Square: Illustration

Area of a Rectangle: Illustration

Area of Closed Figures

Area of Rectangle & Square by Counting Unit Square

Triangles on the Same Base

Parallelograms on the Same Base

This chapter covers topics such as , Introduction to Coordinate Geometry &amp; Cartesian System, Slope and Intercepts, Graphical Solution of Linear Equations, Graph of Linear Equations in two Variables, Distance Formula and its Application.

Coordinate Geometry

This chapter deals with the concept of surface area and volume of three-dimensional figures. It consists of various formulae which are used to calculate the surface area and volume of a cube, cuboid, cylinder, sphere, cone, etc.

Surface Areas and Volumes

The chapter introduces Heron’s formula found in the year 60 AD. We will learn how this formula is helpful for us in conducting geometrical calculations.

Heron's Formula

This chapter talks about the techniques of construction. We will learn that construction involves the drawing of various shapes using only a pair of compass and straight-edge or ruler.

Constructions

The chapter introduces a circle and its characteristics. Further, it explains the set of those points in a plane which are equidistant from a fixed point in the plane.

Circles

In this chapter, we will learn about quadrilaterals. A quadrilateral, sometimes also known as a tetragon or quadrangle (Johnson 1929), is a four-sided polygon. It states that all four polygon vertices are generally taken to lie in a plane.

Quadrilaterals

This chapter defines triangles and describes their properties. A triangle is a shape which is formed by three non-parallel lines. The three corners of a triangle are known as three internal angles.

Triangles

This chapter defines lines and angles. We will learn that a line is of infinite length that starts from infinity and ends at infinity. On the other hand, an angle is the combination of two non-collinear rays which meets at a common point.

Lines and Angles

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Areas of Parallelograms and Triangles

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