pi used in geometry

The line containing any two points in a plane lies wholly in that plane. An angle has only one and only one bisector. Through any point outside a line, one and only one perpendicular can be drawn to the given line. A segment has one and only one mid point. Linear pair postulate: If a ray stan..

i) AD is the median. i.e., BD = DC ii) AG : GD = BG : GE = CG : GF = 2 :..

Two lines are parallel to each other if (i) they do not meet, however far they are produced on either side. (ii) they are co-planar (they lie on the same plane) (i) The perpendicular distance between two parallel lines is the same at all points. (ii) A line is parallel to itself. (iii) Th..

A rectangle is a parallelogram having all angles equal. Its other properties are: (i) The diagonals are equal. (ii) Each angle is a right angle...

A square is a parallelogram having all its sides equal and all its angles equal. Its other properties are: (i) The diagonals bisect each other at right angles and are equal. (ii) The diagonals bisect the angles at each vertex and each half is equal to 45 o ...

There are different ways of defining locus. i) When a point moves so as to always satisfy a given condition, or conditions, the path it traces out is called its locus under these conditions. ii) If a point moves according to some given geometrical conditions, then the path traced out by the mo..

Locus and its equation - There are different ways of defining locus. i) When a point moves so as to always satisfy a given condition, or conditions, the path it traces out is called its locus under these conditions. ii) If a point moves according to some given geometrical conditions, then the ..

In Physics, we study reflection and the image formed by a plane mirror. We specially notice two properties of the image: (i) The image is as much behind the mirror as the object is in front of it. (ii) The mirror is the perpendicular bisector of the line joining the image and the object. XY is the..

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 given measurements. They..

So far we have proved various theorems on parallelograms. Let us now apply these theorems to prove a few interesting and useful facts about a triangl..