Geometry

In this chapter, we review the concepts of geometry and graphs of linear equations related to coordinate geometry. We learn the formula of distance between two points, collinear points, section formula, centroid and area of a triangle.

The chapter explains in detail the concepts associated with Euclid’s Geometry. Euclid was one of the greatest thinkers of all time.

This chapter explains how to draw a line. It also describes how to draw a geometrical shape using a line. We will also learn what an angle is, how to form an angle, and how to draw an angle using lines.

In this chapter, we will learn about similar figures, similarity of triangles, how to calculate the area of triangles, etc. We will also learn the Pythagoras theorem.

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.

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.

We have studied that a circle is a collection of all points. In this chapter, we will learn about the existence of the tangents to a circle and study their properties.

In this chapter, you will learn about constructions by using the knowledge attained about constructions while studying in earlier classes. Justification of using various concepts of geometry is also provided here.

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.

This chapter discusses problems on finding surface areas and volumes of solids. We will also come across solids, which are a part of a cone known as frustums of a cone. Problems on surface areas and volumes of frustum are also provided.