geometry terms and definitions

Statement - A mathematical sentence which can be judged to be true or false is called a statemen..

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

Propositions are of two kinds namely Theorem and Problems A theorem is a generalised statement, which can be proved logically. A theorem has two parts, a hypothesis, which states the given facts and a conclusion which states the property to be proved. The two statements given above are exampl..

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 t..

Question: Give a definition for a) parallel lines b) perpendicular lines Are these other terms that need to be defined first? Answer: a) Given any straight line and a point not on it, there exists one and only one line which passes through that point and never inter..

Homogeneous Equation : A rational, integral, algebraic equation of the variables x and y is said to be homogeneous equation of n t h degree in x and y, when the sum of the indices of x and y in every term is the same and is equal to ..

The term parallel is also applied to Line segments and Rays when the lines they determine are parall..

Simple line equation in terms of polar coordinates. Let us consider the form Ax + By = C as a standard equation of a line in the x y plane. Transformation with coordinate will be x = r Cos θ and y = r Sin θ . Then the equation becomes, r(A cos θ + B sin θ) = C..

Rectangular coordinate system - The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usual..

The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usually drawn horizontally) is called..