coordinate geometry summary

In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real number..

In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real numbers. If P(x 1 ,y 1 ) and Q(x 2 ,y 2 ) be any two points in the plane, then If A(x 1 ,..

Coordinates - The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initi..

The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single number in the following way: Choose some reference point O (or initial point)on XX' and meas..

The coordinates of a point are quantities, which determine the position of the point. If for instance, a point P lies somewhere on a straight line XX', then its position may be defined by a single numbe..

An acute angle has a measure less than 90 o . A Right angle has a measure of 90 o . An Obtuse angle has a measure greater than 90 o but less than 180 o . A Straight angle has a measure of 180 o . A reflex angle has a measure greater than 180 o ..

Parallelograms on the same base and between the same parallels are equal in area. Parallelograms between the same parallels and having equal bases are equal in area. Area of a parallelogram is equal to that of a rectangle of the same base and of same altitude. Area of parallelogram = base x he..

Enlargement or Dilatation If D PQR is the image of D ABC (Pre image) and K is the enlargement factor, If K = 1 the triangles are congruent. The ratio of their areas is K 2 (SAS similarity) If a pair of corresponding angles are equal and the sides including them are proportional..

In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. In D ABC if A = 90 o , BC 2 = AB 2 + AC 2 . Conversely, if the square on one side of a triangle is equal to the sum of the squares on the other two sides,..

An acute angle has a measure less than 90 o . A Right angle has a measure of 90 o . An Obtuse angle has a measure greater than 90 o but less than 180 o . A Straight angle has a measure of 180 o . A reflex angle has a measure greater than 180 o . Adjacent angles have a common vertex and a c..