Rectangular Coordinate System
The position of a point in a plane is determined by two coordinates..
Angles at a Point Introduction
Introduction - Geometry deals with the study of shape, size, position and other properties of objects in a plane or in spa..
Parallel Lines Introduction
Introduction - Consider two lines in a plane. They either have one point in common, or they have no common point. When they have a common point, they are called intersecting lines. When they have no common point, they are called parallel lines. The distance between two parallel lines is t..
Introduction - Consider two lines in a plane. They either have one point in common, or they have no common point. When they have a common point, they are called intersecting lines. When they have no common point, they are called parallel lines. The distance between two parallel lines is t..Midpoint Theorem Introduction
Introduction - We can prove some more properties of triangles using the properties of parallelograms seen in the previous chapter. We find that the line segment joining the mid points of any two sides of the triangle is parallel to the third side and is equal to half of it. We prove this ..
Simple Construction Introduction
Introduction - Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurately to the..
Congruent Triangles Introduction
Introduction - Every geometric figure has a shape and a size. Two circles of different radii have the same shape but their sizes are different. But if we draw two circles of the same radius both the shape and size will be the same. Such figures with the same shape and size are called cong..
Rectilinear Figures Introduction
Rectilinear Figure - A plane figure bounded by straight lines is called a rectilinear figu..
Geometry constructions - Lines, Angles, Triangles
Introduction - Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babylonians studied in a systematic wa..
Fundamental problems of Analytical Geometry
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..
a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..Angles
Introduction - Geometry deals with the study of shape, size, position and other properties of objects in a plane or in spac..
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