basic geometry definitions circles

Fundamental concepts of Geometry..

Basic Proportionality Theorem - A line parallel to one side of a triangle divides the other two sides into parts of equal proportion. In triangle ABC, a line drawn parallel to BC cuts AB and AC at P and Q respectively. Let the point P divide AB in the ratio of l: m where l and m are natur..

Point : It is an exact location. It is a fine dot which has neither length nor breadth nor thickness but has position i.e., it has no magnitud..

Point : It is an exact location. It is a fine dot which has neither length nor breadth nor thickness but has position i.e., it has no magnitud..

Axioms : The self-evident truths or the basic facts which are accepted without any proof are called axiom..

In the above theorem we have proved ID = IE = IF. That is, if a circle with centre I and radius = ID (or IE or IF) is drawn, the circle will pass through the points D, E and F. This circle is called the incircle of a triangle, the centre of incircle is called incentre ..

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 con..

Question: Give the definition of the following terms. Are there other terms that need to be defined first i) line segment ii) radius of a circle iii) square Answer: Line segment: A line segment is a part of a line with two terminal points. The other terms that need ..

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 c..

Question: Which of the following statements are true and which are false? Give reasons for your answers. i) Only one line can pass through a single point. ii) There are infinite number of lines which pass through two distinct points. iii) A terminated line can be produced indefinitely on both ..