Geometry

This chapter discusses Euclid’s theorems of geometry which involves several axioms and postulates. Some terms related to geometry are also explained. The illustrations are provided to elucidate every axiom and postulate.

This chapter covers the concept of lines. It includes parallel and transversal lines, along with the basic terms for angles formed between them. It also explains the line parallel to the same line using relations and theorems on angles formed.

This chapter discusses the features of a triangle and its types. We will learn about some basic terms used for explaining the triangles. It also describes the formation of exterior and interior opposite angles of a triangle.

This chapter explains the concept of congruence of triangles and their criteria. It discusses different ways and methods to make a triangle congruent. The properties and inequalities of a triangle are also explained.

This chapter explains the properties of a quadrilateral and its various types. It discusses the midpoint theorem and properties of a parallelogram. We will look into some results on the rectangle, rhombus, and square with theorems.

In this chapter, we will learn the methods to calculate the area of a triangle and parallelogram with the same base and same parallels. It also explains the process to determine the area of a triangle when both base and height are given.

This chapter explains the concept of a circle and its features like a chord, radius and centre. It also explains the theorem of the angle subtended by an arc and chord of a circle with the sum of properties of an angled triangle using examples.

In this chapter, we will understand the concept of basic constructions in geometry. It discusses problems related to constructing a triangle in varied scenarios, such as when the base, angle and sum of two sides are given.