Introduction
Sometimes it is necessary in geometry to specify the location of all points satisfying one or more condition..
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 the same at all points..
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 the same at all points..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 congruent figures. We can che..
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 congruent figures. We can che..Introduction
Sometimes it is necessary in geometry to specify the location of all points satisfying one or more conditions. For example, location of set of points equidistant from two given points, location of set of points equidistant from a given point etc. This is done by considering a set of point..
Introduction
In the given triangle ABC, A = 90 o . Squares BCDE, ABFG and ACKL are drawn on the sides of the triangle. area of square BCDE = BC 2 area of square ABFG = AB 2 area of square ACKL = AC 2 Pythagoras' theorem states that, area of square BCDE = area of square ABFG + area of square ACKL BC 2 = AB 2 + A..
In the given triangle ABC, A = 90 o . Squares BCDE, ABFG and ACKL are drawn on the sides of the triangle. area of square BCDE = BC 2 area of square ABFG = AB 2 area of square ACKL = AC 2 Pythagoras' theorem states that, area of square BCDE = area of square ABFG + area of square ACKL BC 2 = AB 2 + A..Introduction
Area of a region, bounded by a geometrical figure measures the portion of the plane occupied by the region. When we talk of the area of D ABC, we mean the area of the region bounded by D ABC. We shall discuss the geometrical aspects of areas of some important figures like triangles, parallelograms ..
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 congruent figures. We c..
Introduction
We have studied so far about equalities in a triangle. In an isosceles triangle two of the sides are equal. In an equilateral triangle all the sides are equal. But there exist several situations where we need to compare quantities which are not equal. This gives rise to the concept of inequalities...
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 in the mid point theor..
Introduction
Consider two lines in a plane. They either have one point in common, or they have no common poin..
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