Coordinate Geometry — Chapter Summary

The x

The x-coordinate of a point is called the abscissa and it is the distance of the point from the y-axis. The y-coordinate is called the ordinate and it

If two points lie on

If two points lie on the x-axis, their distance is found by subtracting their x-values. If two points lie on the y-axis, their distance is found by su

For two points P(x1

For two points P(x1, y1) and Q(x2, y2), the distance is PQ = √((x2 - x1)² + (y2 - y1)²). The same result is obtained if the coordinates are written in

Distances can be used to test

Distances can be used to test whether points form a triangle, a square, or a line. For example, if three distances satisfy the triangle inequality, th

If point P divides the line

If point P divides the line segment joining A(x1, y1) and B(x2, y2) internally in the ratio m1:m2, then P = ((m1x2 + m2x1)/(m1 + m2), (m1y2 + m2y1)/(m